A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51+ Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 Given that an adult likes soccer, what is the probability the adult is aged 18–30?

The probability that an adult who likes soccer ages 18-30 is approximately 0.444.

Given that the table is,

                                                         Age range

                                        18-30         31-50         51+             Total

                 Football            15              19             17                  51

Sport         Baseball            7               12             18                  37

                 Basketball         15              8              11                   34

                 Soccer               12              9               6                  27

Given:

Liked sport: Soccer

Age range: 18-30

To find the probability that an adult is aged 18-30 given that they like soccer, denoted as P(18-30 | S).

To calculate this probability, use the formula for conditional probability:

[tex]P(18-30 | S)= \frac{P((18-30) \cap (S))} {P(S)}[/tex]

P(18-30 ∩ Soccer) represents the probability that an adult is both aged 18-30 and likes soccer.

Looking at the provided table, the number of adults who like soccer and are aged 18-30 is 12.

P(Soccer) represents the probability that an adult likes soccer. The total number of adults who like soccer, regardless of age, is 27.

Now, calculate the probability:

P(18 - 30| S) = 12 / 27

≈ 0.444 (rounded to three decimal places)

To learn more about conditional probability;

brainly.com/question/10567654

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The complete question:

A sample of adults was asked to choose their favorite sport to watch from a list of four sports.

                                                         Age range

                                        18-30         31-50         51+             Total

                 Football            15              19             17                  51

Sport         Baseball            7               12             18                  37

                 Basketball         15              8              11                   34

                 Soccer               12              9               6                  27

Given that an adult likes soccer, what is the probability the adult is aged 18–30?

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