You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18

Answers

Answer 1

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

Answer 2

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

For this case, let we define two events:
A = event of rolling a 4 in first rollB = event of rolling a number less than 3 in second roll

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

brainly.com/question/1210781


Related Questions

can some one help me on this and thank u

Answers

Answer:

2<x<3

Step-by-step explanation:

the first one

what is this answer? :)

Answers

Answer:

the answer is b

Step-by-step explanation:

A(x) = 2 (3x - 2)(x - 5)

Answers

Answer:

Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

 

​  

 

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

 

​  

 

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

 

​  

 

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

 

​  

 

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

 

​  

 

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

 

​  

 

Multiply 2 times −1.

x=  

−2

3±  

29

​  

 

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

 

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

 

​  

 

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

 

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

 

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

 

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

 

​  

 

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

 

​  

 

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

 

​  

 

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

 

​  

 

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

 

​  

 

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

 

​  

 

Multiply 2 times −1.

x=  

−2

3±  

29

​  

 

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

 

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

 

​  

 

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

 

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

 

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

 

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2

Step-by-step explanation:

What is the value of g?
−5+7g=3g+9
A.) g=−1
B.) g = 1
C.) g=125
D.) g=312

Answers

Answer:

The answer is D

Step-by-step explanation:

Give the other person brainlest

Answer:

d

Step-by-step explanation:

i took the quiz


+Which number should you put in question mark ?
53 (3) 59
92 (4) 98
34 (2) 38
71 (?) 79

+Answer
A : 1
B : 5
C : 7
D : 9
E : no answer



Answers

Answer:

what is this I can't understand???

If y by itself what does that means?

Answers

Answer:

[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]

by itself means it’s alone. or there’s no one of nothing near

TWENTY PIONTS!!!!! what completes the prime factorization of 315

Answers

Answer:

Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:

Plz help me answer this

Answers

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Substitute in x:                              13(y + 6) - 6y = 22Distribute 13:                                 13y + 78 - 6y = 22Combine like terms:                      7y + 78 = 22Isolate y term:                                7y = -56Isolate y:                                         y = -8

Step 3: Solve for x

Define original equation:                    x = y + 6Substitute in y:                                     x = -8 + 6Add:                                                      x = -2

Is the relationship a function yes or no?

Answers

Answer:

no because 3x nothing equals 14 and 4x nothing equals 18

hope this helps plz mark brainliest

Step-by-step explanation:

Please help me, i can't get this question wrong, please and thank you.

Answers

I believe the answer is D) the man is two (2) times smaller than the yeast cell.

Hope this helps✨❤️

Kim reads 360 words in 3 minutes. It Kim continues to read at the same rate, how many words can she rend in 1 hours?

Answers

Answer:

7200 word in 1 hour

Step-by-step explanation:

360/3 to get how many words she can read in a minute which is 120.

Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.

88 x 88/22 x 11 x 11​

Answers

Answer:

42592

Step-by-step explanation:

Answer:42592

Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)

Identify the correct definition of the term. Angle​

Answers

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

helppp
algebraaaaa what is sum of polynomials

Answers

Answer:

3x^2+6x+4

Step-by-step explanation:

6x+7+x^2+2x^2-3

3x^2+(7-3)+6x

3x^2+6x+4

Help. Will give brainliest :)

Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?

Answers

Answer:

18 inches!

Step-by-step explanation:

Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)

hope this helped!

YALL HELP PLEASE THANK U

Answers

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Write the equation of the line with the given point and slope: (−5, −3) slope=−35

Answers

Answer:

Slope-intercept form: y = -35x - 178

Point slope form: y + 3 = -35 x (x + 5)

Step-by-step explanation:

Convert 3 2/7 into improper fractions

21/7
23/7
41/7
None of the above

Answers

Hello,

The correct answer is B.

Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.

Workspace:

3 * 7

=21

21 + 2

=23/7

P(2-r)-17=109 what is the answer

Answers

Answer:

                              126

                    P = -------------

                              2 - r

Step-by-step explanation:

Solve for P:  P(2-r)-17=109

Combining the constant terms:

                     P(2 - r) = 126

Dividing both sides by (2 - r) isolates P:

                              126

                    P = -------------

                              2 - r

A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem

Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.

Answers

bxjabcbkbkebwjbckjwStep-by-step explanation:

Answer:

this is step up very weird could you set it up a bit clearer?

Step-by-step explanation:

50.2 x 1 10² tenths equal?

Answers

Answer:

607,420

Step-by-step explanation:

hope it is correct and helps

She needs to find her maximum heart rate m by subtracting her age a from 220 write an equation she can use

Answers

Answer:

220 - a = m

Step-by-step explanation:

her age is the variable "a"

Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared

Answers

Answer:

hb=2.5

Step-by-step explanation:

base = 4

area  =  5

The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain

If you graphed this situation what would the slope represent? Explain

If you graphed this situation what would the y intercept be and what would it represent?

What units make sense for the slope?

Answers

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460

How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm

Answers

December 18th to 24th is 6 days! And 8:25am to 4:30 pm is 8 hours and 5 minutes. So, in total, it’s 6 days, 8 hours, and 5 minutes.

7(2 - 3x) - 10
Simplify expressions

Answers

Answer:

4-21x

Step-by-step explanation:

What is - 2 x 6 - 5^2?

Answers

Answer:

The answer is -300

Step-by-step explanation:

The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300

can anyone do division on paper plsss​

Answers

Answer:

738.75

Step-by-step explanation:

i hope this helps im sorry if im wrong

Step 1: D for Divide. How many times will 80 go into 59100 ? ...

Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .

Step 3: S for Subtract. Next you subtract. ...

Step 4: B for Bring down. ...

Step 1: D for Divide. ...

Step 2: M for Multiply. ...

Step 3: S for Subtract.

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