Question

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7

Answer 1

In out of 52 playing cards, 4 jacks, 4 queens and 4 kings are removed, then the remaining cards are left, n(S) = 52 – 3 × 4 = 40.

Let E₁ = Event of getting a card whose value is 7

E = Card value 7 may be of a spade, a diamond, a club or a heart

∴ n(E₁) = 4

∴ `P(E_1) = (n(E_1))/(n(S)) = 4/40 = 1/10`