Question

A card is drawn from a standard deck of 52 cards. Find the probability that the card is a

-    not a face card       - diamond or Jack       -    face card and spade       - face card or a club

a. None of these b. 3/52 c. 13/52 d. 40/52 e. 16/52 f. 22/52

Answer 1

(1)

P(Not a Face Card) = 1 - (12/52) = 40/52

So,

Correct option:

d.     40/52

(2)

P(Diamond OR Jack) = P(Damond) + P(Jack) - P(Diamond & Jack)

                                  = 13/52   + 4/52 - 1/52

                                    = 16/52

So,

Correct option:

e.     16/52

(3)

P(Face Card & Spade) = 3/52

So,

Correct option:

b.   3/52

(4)
P(Face Card OR Club) =P(Face Card) + P(Club) - P(FaceCard & Club)

                                    = 12/52   + 13/52 - 3/52

                                      - 22/52

So,

Correct option:

f.     22/52