Question:
Tick (✓) the correct answer:
From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a black 6?
(a) $\frac{3}{26}$
(b) $\frac{1}{26}$
(c) $\frac{1}{13}$
(d) $\frac{1}{52}$
Solution:
(b) $\frac{1}{26}$
Total number of cards $=52$
Total number of black 6 cards $=2$ (6 of spades, 6 of cloves)
Now, $\mathrm{P}_{(\text {black } 6)}=\frac{2}{52}=\frac{1}{26}$