A standard deck of 52 cards has 13 diamonds and 39 cards of other suits. A hand of 5 cards is dealt from a well-shuffled deck. Let A_r be the event that there are exactly r diamond in the 5- card hand. a) Write a general formula for P(A_r) and evaluate all values for r which P(A_r)>0. Solution a) 5cr+39c(5-r). 0<=r<=5..

1. A standard deck of 52 cards has 13 diamonds and 39 cards of other suits. A hand of 5 cards is
dealt from a well-shuffled deck. Let A_r be the event that there are exactly r diamond in the 5-
card hand. a) Write a general formula for P(A_r) and evaluate all values for r which P(A_r)>0.
Solution
a) 5cr+39c(5-r). 0<=r<=5.