from a pack of 52 well shuffled cards, cards are drawn one by one without replacement. if fourth drawncard is found to be the ace then what is the probability that there are no more aces left in the pack is
Answers
Given : a pack of 52 well shuffled cards, cards are drawn one by one without replacement. fourth drawn card is found to be the ace
To find : what is the probability that there are no more aces left in the pack
Solution:
a pack of 52 well shuffled cards
A pack has 4 aces
fourth drawn card is ace
there are no more aces left in the pack
=> 1st three cards has to be aces
3 aces to be selected from 4 aces = ⁴C₃
& 3 cards to be selected from 52 cards = ⁵²C₃
Hence probability = ⁴C₃/⁵²C₃ = 4 * 3 * 2 / 52 * 51 * 50
= 1/5525
1/5525 is the probability that no more aces left in park
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