Question

Four cards are drawn at random from a pack of 52 cards. Find the
probability that
(i)They are a king, a queen, a jack and an ace.
(2)Two are kings and two are aces.
(3)All are diamonds.
(4)Two are red and two are black.
(5)There is one card of each suit.
(6)There are two cards of clubs and two cards of diamonds.

Answer 1

Answer:

n(S)= 52

event A is king, queen, ajack and an ace

thus A ={4 king, 4 queen, 4 jack and 4 ace}

n(A)= 16

1. P(A)= 4/13

2. B = {2 kings and 2 aces}

P(B)= 1/13

3. C={13 diamonds }

P(C)= 1/4

4. D={2 red and 2 black }

P(D)= 1/13

5. E= {each card of each suit = 4 } P(E) = 1/13

6. F={ 2 clubs card and two diamonds }

P(F) = 1/13