One card is drawn at random from a well-shuffled pack of 52 playing cards. What is the probability that it is a red card bearing a number from 2 to 10 (hearts or diamonds, not an ace, jack, queen or king)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{9}{26}\)
Each of the 52 cards is equally likely, so probability = favourable cards ÷ 52. Each suit has 9 number cards: 2, 3, 4, 5, 6, 7, 8, 9 and 10.
Red suits: hearts and diamonds, that is, 2 suits
Red number cards \(=2\times9=18\)
Probability \(\displaystyle =\frac{18}{52}=\frac{9}{26}\)