SOLUTION: Suppose 5 cards are drawn, without replacement, from a standard bridge deck of 52 cards. Find the probability of drawing... a) all diamonds b) all aces c) 4 clubs and 1

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose 5 cards are drawn, without replacement, from a standard bridge deck of 52 cards. Find the probability of drawing... a) all diamonds b) all aces c) 4 clubs and 1      Log On


   

Question 873634: Suppose 5 cards are drawn, without replacement, from a standard bridge deck of 52 cards. Find the probability of drawing...
a) all diamonds
b) all aces
c) 4 clubs and 1 non-club
Can you explain. Don't understand how to solve.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

5 cards are drawn, without replacement

Think of choosing 5 Cards of a Particular Kind w/o Replacement: Particular/ALL

P(all diamonds)= %2813C5%29%2F%2852C5%29+ = %2813%2A12%2A11%2A10%2A9%29%2F%2852%2A51%2A50%2A49%2A48%29

P(all Aces)= 0 (only 4 Aces)

P(all Aces and one other) = %284C4%29%2839C1%29%2F%2852C5%29

P(Choosing 4C and 1 nonC) = %2813C4%29%2839C1%29%2F%2852C5%29