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 greater than 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 E₂ = Event of getting a card whose value is greater than 7

= Event of getting a card whose value is 8, 9 or 10

∴ n(E₂) = 3 × 4 = 12

∴ `P(E_2) = (n(E_2))/(n(S)) = 12/40 = 3/10`