From a well-shuffled pack of 52 playing cards, a single card is picked at random. Find the chance that it is a jack, queen or king belonging to one of the two black suits, spades or clubs.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{3}{26}\)
Each of the 52 cards is equally likely, so probability = favourable cards ÷ 52. Each suit has 3 face cards: the jack, the queen and the king.
Black suits: spades and clubs, that is, 2 suits
Black face cards \(=2\times3=6\)
Probability \(\displaystyle =\frac{6}{52}=\frac{3}{26}\)