MathDB

Jen randomly picks

4

distinct elements from

\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}

. The lottery machine also picks

4

distinct elements. If the lottery machine picks at least

2

of Jen’s numbers, Jen wins a prize. If the lottery machine’s numbers are all

4

of Jen’s, Jen wins the Grand Prize. Given that Jen wins a prize, what is the probability she wins a Grand Prize?

Problem Statement