Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of

(i) heart (ii) queen (iii) clubs

Answer 1

Total number of possible outcomes, n(S) = 52 – 3 = 49 

(i) Number of favorable outcomes, 

n(E) = 13

∴ P(E) =  \(\frac{n(E)}{n(S)}\) = \(\frac{13}{49}\)

(ii) Number of favorable outcomes, n(E) = 4 – 1 = 3

 ∴ P(E) =  \(\frac{n(E)}{n(S)}\) = \(\frac{3}{49}\)

(iii) Number of favorable outcomes, n(E) = 13 – 3 = 10

  ∴ P(E) =  \(\frac{n(E)}{n(S)}\) = \(\frac{10}{49}\)