Riya and Kabir take a driving test. The probability that Riya passes is \(\frac{3}{4}\) and the probability that Kabir passes is \(\frac{2}{5}\). If the two results are independent, what is the probability that both of them pass?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\frac{3}{10}\)
For independent events, the probability that both happen is the product of their probabilities.
P(Riya passes) \(\displaystyle =\frac{3}{4}\), P(Kabir passes) \(\displaystyle =\frac{2}{5}\)
P(both pass) \(\displaystyle =\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}=\frac{3}{10}\)