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 picture card (jacks, queens and kings are picture cards).

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 picture card

No. of favourable outcomes = 6 {2 jacks, 2 kings and 2 queens of black colour}

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

P(E) = `6/44`

= `3/22`