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A and B alternatively cut Pack of Cards and Pack is shuffled after each cut.If a starts the game and is continued till one gets a club.Then the chance that B cuts the club first in 3rd trial is?

A and B alternatively cut Pack of Cards and Pack is shuffled after each cut.If a starts the game and is continued till one gets a club.Then the chance that B cuts the club first in 3rd trial is?

Grade:11

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
8 years ago
If B gets club first in 3rd trial, then we get:
1st trial: A doesn't get club, B doesn't get club
2nd trial: A doesn't get club, B doesn't get club
3rd trial: A doesn't get club, B gets club

Without replacement:
Deck starts with 39 non-clubs and 13 clubs
Prob = (39/52) (38/51) (37/50) (36/49) (35/48) (13/47) = 0.061275 = 6.13%
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty

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