The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups. baseball league (b) softball league (s) ages 7 – 9 (x) 3 7 ages 10 – 12 (y) 2 2 ages 13 – 15 (z) 1 1 if the winner is in baseball league, find the probability that the winning team is in either the ages 10 - 12 division or the ages 13 - 15 division. answer in terms of a reduced fraction. a. p(y | b) = a0 a1 b. p(z | b) = a2 a3 c. p(y or z |b) = a4 a5

Step-by-step explanation:

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The correct answer is:

7/10

Explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.

We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.

There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

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