SOLUTION: Hello, Please tell me the solution of this: Q1)4 cards are drawn at random from a pack of cards then find the probability that i)One card is from each suit ii)All 4 are pict

Algebra ->  Probability-and-statistics -> SOLUTION: Hello, Please tell me the solution of this: Q1)4 cards are drawn at random from a pack of cards then find the probability that i)One card is from each suit ii)All 4 are pict      Log On


   

Question 890306: Hello,
Please tell me the solution of this:
Q1)4 cards are drawn at random from a pack of cards then find the probability that
i)One card is from each suit
ii)All 4 are picture cards ( a king, a queen, a jack, an ace)
Regards
Gargi
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Both problems involve drawing cards without replacement.
i. Probability that one card is from each suit is
(note that there are 13 cards in each suit)
13/52 * 13/51 * 13/50 * 13/49 = 0.004395758
ii. Probability that all 4 are picture cards is
(note that there are 4 aces, 4 kings, 4 queens, 4 jacks)
4/52 * 4/51 * 4/50 * 4/49 = 0.0000394