In a school, Class 1 has 10 football players, Class 2 has 17, Class 3 has 8 and Class 4 has 7. One football player is selected at random for an inter-school match. What is the probability that the player is from either Class 2 or Class 4?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{12}{21}\)
A player belongs to only one class, so the favourable players of Class 2 and Class 4 are added and divided by all the players.
All players \(=10+17+8+7=42\)
Players of Class 2 or Class 4 \(=17+7=24\)
Probability \(\displaystyle =\frac{24}{42}=\frac{12}{21}\)