Question

Five cards are drawn without replacement from a standard deck of 52 cards consisting of four suits of thirteen cards each. Calculate the probability that the five cards result in a flush (all five cards are of the same suit).

Answer 1

Answer:-

Given that:-

No.of ways 5 cards can get selected from same suit,

1 suit gets selecetd from 4 suits

from the 13 cards of the selecetd suits, 1 card is selected and removed.

the second card gets selected from the remaining 12 cards of the same suit , and removed.

And the 3rd 4th 5th cards get selecetd in a simillary from the same suit.

Required probability:

P(5 cards results in a flush)

=P(all 5 cards are of the same suits)

=no.of ways 5 cards can get selecetd from a suit no.of ways 5 cards get selected from 52 cards.