All kings and queens are removed from a pack of 52 cards. The remainin

1.	All kings and queens are removed from a pack of 52 cards. The remaining cards are well – shuffled and then a card is randomly drawn from it. Find the probability that this card is (i) a red face card (ii) a black card.
Answer» Total number of possible outcomes, n(S) = 52 – 8 = 44 (i) Number of favorable outcomes, n(E) = 2 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{44}\) = \(\frac{1}{22}\) (ii) Number of favorable outcomes, n(E) = 26 – 4 = 22 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{22}{44}\) = \(\frac{1}{2}\)

All kings and queens are removed from a pack of 52 cards. The remaining cards are well – shuffled and then a card is randomly drawn from it. Find the probability that this card is (i) a red face card (ii) a black card.

Answer»

Total number of possible outcomes, n(S) = 52 – 8 = 44

(i) Number of favorable outcomes,

n(E) = 2

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{44}\) = \(\frac{1}{22}\)

(ii) Number of favorable outcomes, n(E) = 26 – 4 = 22

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{22}{44}\) = \(\frac{1}{2}\)

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All kings and queens are removed from a pack of 52 cards. The remaining cards are well – shuffled and then a card is randomly drawn from it. Find the probability that this card is (i) a red face card (ii) a black card.

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