Jerseys A Statistics professor comes home to find that all four of his children got white team shirts from soccer camp this year. He concludes that this year, unlike other years, the camp must not be...

Jerseys A Statistics professor comes home to find that all four of his children got white team shirts from soccer camp this year. He concludes that this year, unlike other years, the camp must not be using a variety of colors. But then he finds out that in each child’s age group, there are 4 teams, only 1 of which wears white shirts. Each child just happened to get on the white team at random.

 a) Why was he so surprised? If each age group uses the same four colors, what’s the probability that all 4 kids would get the same-color shirt?

 b) What’s the probability that all 4 would get white shirts?

 c) We lied. Actually, in the oldest child’s group there are 6 teams instead of the 4 teams in each of the other three groups. How does this change the probability you calculated in part b?