The probability of drawing two aces randomly from a pack of 52 cards is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{1}{221}\)
Two cards drawn together form a selection of 2 cards, so the probability is the number of ways of choosing 2 aces divided by the number of ways of choosing any 2 cards. A pack has 4 aces.
Ways of choosing 2 aces: \(\displaystyle^{4}C_{2}=\frac{4\times3}{2}=6\)
Ways of choosing any 2 cards: \(\displaystyle^{52}C_{2}=\frac{52\times51}{2}=1326\)
Probability \(\displaystyle=\frac{6}{1326}=\frac{1}{221}\)