Question

1) A local food bank surveys 100 of their volunteers. They find that 76 of them...

1)

A local food bank surveys 100 of their volunteers. They find that
76 of them have children.
44 of them have at least one grandchild.
20 of them have more than one grandchild.

What is the probability a volunteer chosen at random

a) has a child?

b) has no grandchildren?

Be sure to explain your reasoning.

2)

We survey a group of students about sports. We find that if we ask a student at random about their greatest athletic feat, they'll respond with the following probabilities:

Came in first in a race, got a gold medal 5/24
Participated in a boxing match, got a silver medal 1/24
Came in first in a golf tournament 3/24
Came in first in baseball season 12/24
Participated in a tennis tournament 3/24

If F={came in first} and M={got a medal}, find P(FC U MC). Be sure to show all your work.

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