two teams play a series of games, wher both teams have an equal probability of winning each game. its a best- of-five series, so the frist team to win three games is the winner. what is the probability that the series lasts five games

Answers

Answer 1

Answer:

0.375

Step-by-step explanation:

With equal probability, hence

p for both teams = 0.5

First team to win three games win, probability that series lasts 5 games :

This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :

Each team winning two games and any of the teams could be the eventual winner :

From binomial relation :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 0.5

Team A :

Winning any 2 from 4 and winning the 5th

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Team B :

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Hence, the probability that series lasts five games is :

[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]

0.1875 + 0.1875

= 0.375


Related Questions

What is the est. decimal for the square root of 50?

Answers

Answer:

7.071

Step-by-step explanation:

Hope this helps

The answer to your question would be 7.0
The estimated decimal square root of 50.0 is 7.0.

Hope this helped,

Have a great afternoon.

Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2​

Answers

The number line inequality will be true for the following condition given in this problem:

When a = 0 and c = -8.

How are real numbers represented on a number line?

On a number line, real numbers increase from left to right, meaning that:

Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.

For this problem, the inequality is:

c > b > a.

Which means that:

c is to the left of b.b is to the left of a.

We have that b < -1, hence:

c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...

Then the conditions that make the statement b < -1 true are given as follows:

When a = 0 and c = -8.

More can be learned about number line inequalities at https://brainly.com/question/24372553

#SPJ1

ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15

Answers

Answer:

-2x-15

Step-by-step explanation:

Answer: C. -2x-15

Step-by-step explanation: 5 + 5(x – 4) – 7x

5(x-4)-7x+5

(5x-5×4)-7x+5

5x-20-7x+5

5x-7x-20+5

-2x-15

Please hurry i need help and im stuck!!! helpsosososos

Answers

Answer:

2

Step-by-step explanation:

the x and y are being multiplied by 2 e.g. 1 × 2 is 2 and 2 × 2 is 4 so the constant is 2

Answer:

2

Step-by-step explanation:

y2-y1       4-2         2

-------- = --------- = ---------- = 2

x2-x1        2-1          1

If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?

Answers

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

Answer:

$261.8 Is how much you take home.

Step-by-step explanation:

(* is multiply)

In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5

23% of 340 is 78.2 ( 340 * 0.23)

Subtract 340 by 78.2, and you get your net pay, 261.8

Another way to do this is subtract 100% by 23%.

so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep

so 340 * 0.77 = 261.8

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

Help, please!! I don’t have much time

Answers

Answer:

B.

Step-by-step explanation:

JELLO HELLO KNOCKS FOR HELP

Answers

Wait imma try to solve this

Answer:

I think it's 9×30=270 (given

270-180 (sum of triangle

=90°

(X+4) • (3x)

(Help answer this )

Answers

Answer:

3x^2 +12x

Step-by-step explanation:

(x+4) • (3x)

Distribute

3x*x + 3x*4

3x^2 +12x

A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.

Enter the distance between the ground and the top of the ladder, x, in feet.

Answers

Answer:

Pythagorean theorem:

x^2 = 17^2 - 8^2

x^2 = 225

x = sqrt(225) = 15

The distance is 15 ft

Answer:

Solution given:

base=8ft

hypotenuse=17ft

perpendicular=?

By using Pythagoras law

hypotenuse ²=perpendicular ²+base²

17²=perpendicular ²+8²

perpendicular ²=17²-8²

perpendicular=[tex]\sqrt{225}=15[/tex]

the distance between the ground and the top of the ladder, x is 15ft.

Can someone help me with this please

Answers

Answer:

x = 61

Step-by-step explanation:

These 2 angles are supplementary which means they add up to 180:

2x - 6 + x + 3 = 180

3x - 3 = 180

3x = 183

x = 61

PLEASE HELP ME! WILL MARK BRAINLIEST

Answers

Answer:

THE SECOND ANSWER

Step-by-step explanation:

Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.

Answers

Answer:

v = 2c

Step-by-step explanation:

Help please............. please

Answers

Answer:a!

Step-by-step explanation:

Answer = A


step by step explanation:

Which of the following is most likely the next step in the series?
Look at the photo

Answers

It looks like C since it was the start on the other side.

Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2

Answers

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.

Answers

Wheres the graph...and the question?

2(x + 10) = -60 solve for x

Answers

Answer:

2x + 20 = -60

-20           -20

2x = -80

Divide by 2 on both sides.

X = -40

Answer:

-40

Step-by-step explanation:

2(x + 10) = -60

step 1 distribute the 2 to the x and 10

2 * x = 2x

2 * 10 = 20

we now have 20 + 2x = -60

step 2 subtract 20 from each side

20 - 20 cancels out

-60 - 20 = -80

we now have 2x = -80

step 3 divide each side by 2

2x / 2 = x

-80 / 2 = -40

we're left with x = -40

what is the answer to my problem

Answers

Please provide more context for our brains to understand your problem (: thank you!

PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

266.386

Step-by-step explanation:

im not shore if its right, i used a surface area calculator

Answer:

56ft

Step-by-step explanation:

Surface area is adding up all the sides multiplied by 2, so:

8 x 2 = 16ft

8 x 2 = 16ft

12 x 2 = 24ft

24ft + 16ft + 16ft = 56ft

Determine the missing side length of the triangle please and thank you!

Answers

Answer:

90

Step-by-step explanation:

It is a right angle

Answer:

8.944

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]

The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P

Answers

I think it’s B.P2= 1/1

plz help i beg uu. Will give branliest

Answers

I think the answer would be C :$:$:$:$:$:$:$:$:&:$
The answer is C hope this helps!!

What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.

Answers

you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.

find the value of (256)-3/4
help with steps pls​

Answers

Answer:

Step-by-step explanation:

(256)-3/4

=256*-3/4

=-768/4

=-192

Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R​

Answers

Answer:
51.7
Explanation:

Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.

Answers

Answer:

C

Step-by-step explanation:

if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel

Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft

Answers

Answer:

Capacity of Matti's green house = 367.5 cubic feet

Step-by-step explanation:

Given:

Base Width and Length = 7 feet by 15 feet

Height of prism = 7 feet

Find:

Capacity of Matti's green house

Computation:

Capacity of Matti's green house = Volume of rectangular base[triangular prism]

Volume of rectangular base[triangular prism] = Area of triangular base x Height

Capacity of Matti's green house = [(1/2)(7)(7)][15]

Capacity of Matti's green house = [(1/2)(49)][15]

Capacity of Matti's green house = [(24.5)][15]

Capacity of Matti's green house = 367.5 cubic feet

Answer:

367.5 Cubic ft3

Step-by-step explanation:

Just look at the other persons explanation

(Please give them brainliest)

What is the slope-intercept form equation of a line that has a slope of 1 and passes
through the point (-4, 10)?

Answers

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

Need help with these 1 questions please show work !!!! Due soon !!

Answers

Answer:

1. is 29.3in^3

2. 268.08

4/3pi(r)^3

4/3pi(4)^3

= 268.08

Rounded to the nearest tenth is 268.1

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