SOLUTION: For a magic trick Anna selects 5 cards from a deck and places them on the table in a row. What is the probability that she selects three Aces, followed by Two Kings? Thank you

Algebra ->  Permutations -> SOLUTION: For a magic trick Anna selects 5 cards from a deck and places them on the table in a row. What is the probability that she selects three Aces, followed by Two Kings? Thank you      Log On


   

Question 1201257: For a magic trick Anna selects 5 cards from a deck and places them on the table in a row. What is the probability that she selects three Aces, followed by Two Kings?
Thank you
Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


first card: 52 cards; 4 are aces. P(ace first) = 4/52 = 1/13
second card: 51 cards; 3 aces. P (ace second) = 3/51 = 1/17
third card: 50 cards; 2 aces. P(ace third) = 2/50 = 1/25
fourth card: 49 cards; 4 kings. P(king fourth) = 4/49
fifth card: 48 cards; 3 kings. P(king fifth) = 3/48 = 1/16

ANSWER: (1/13)(1/17)(1/25)(4/49)(1/16)
Use a calculator....