Question

One card Is drawn from a well shuffled deck of 52 cards. 

Find the probability of getting : 

i) a King of red colour. 

ii) the Jack of black. 

iii) a black face card. 

iv) the Queen of diamonds.

Answer 1

Total no. of cards = 52 

Total no. of possible outcomes = 52 

A card is drawn randomly from a well shuffled deck of cards 

i) No. of favourable outcomes forgetting a king of red colour = 2

Probability

ii) No. of favourable outcomes forgetting the jack of black = 2 

Probability = \(\frac{2}{52}=\frac{1}{26}\)

iii) No. of favourable outcomes forgetting a black face card = 6 

Probability = \(\frac{6}{52}=\frac{3}{26}\)

iv) No. of favourable outcomes forgetting the Queen of diamonds = 1 

Probability = \(\frac{1}{52}\)