Math, asked by Anonymous, 9 months ago

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

Answered by amitnrw
1

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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