Question

From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is a black queen.

Answer 1

Total no. of cards = 52

All jacks, queens and kings, aces of red colour are removed.

Total no. of possible outcomes = 52 – 2 – 2 – 2 – 2 = 44 {remaining cards}

 E ⟶ event of getting a black queen

No. of favourable outcomes = 2 {queen of spade and club}

Probability, P(E) =`"No. of favorable outcomes"/"Total no. of possible outcomes"`

P(E) = `2/44`

= `1/22`