Question

In a pack of 52 cards, half are red and the rest are black. There are 4 Suits of 13 cards each and having the signs ‘hearts’, ‘spade’, ‘clubs’ and ‘diamond’. If a card is picked from this pack. 

a. What is the probability of it being black? 

b. What is the probability of it be in gaspade?

c. What is the probability of it being a spade or a diamond?

Answer 1

a. Total number of cards = 52

Number of black cards = 26

Probability of the picked card being black = \(\frac{26}{52}=\frac{1}{2}\)

b. No. of spade cards = 13

Probability of a picked card being spade = \(\frac{12}{52}=\frac{1}{4}\)

c. No. of cards spade or diamond =13 + 3 = 26

Probability of a picked card being spade or diamond = \(\frac{26}{52}=\frac{1}{2}\)