One card is drawn from a deck of 52 cards. Number of points in the sample space S = n(S) =
(i) Event A: the card drawn is a diamond. n(A) =
Hence,
(ii) Event B: the card drawn is not an ace. n(B) =
[∵ there are 4 aces, so number of remaining cards = 52 - 4 = 48]
Hence,
(iii) Event C: the card drawn is a black card. n(C) =
(one out of 26 black cards)
Hence,
(iv) Event D: the card drawn is a diamond card. n(D) =
(one out of 13 diamond cards)
P(D) =
We have to find the probability that the card is not a diamond card i.e.
Now,
Hence, P (card drawn is not a diamond card) =
(v) Event E: the card drawn is a black card
(the card drawn is not a black card) = 1 - P(E) =
Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain all the four kings.