Question

One card is drawn from a well shuffled deck of 52 cards .Find the probability of getting 1.a red suit. 2.a queen of black suit. 3.a jack hearts. 4.a red face card.

Answer 1

52 cards are there

therefore , n(S) = 52

event A : red suit
there are 26 red cards
n(A) = 26

P(A) = n(A) / n(S)
= 26 /52
=1/2

event B : black queen
there are 4 Queens out of which two are black
n(B) = 2

P(B) = n(B) / n(S)
= 2 /52
=1/26

event C : jack of heart
there are 4 jacks out of which only one is of heart
n(C) = 1

P(C) = n(C) / n(S)
= 1/52

event D : red face
there are 3 faces in each type of suit out of which 6 are red
n(D) = 6

P(D) = n(D) / n(S)
= 6 /52
=3/26