A person goes to a store to buy clothes. The probability of the events is independent. The probability of buying a hat is 0.25. The probability of buying a pair of gloves is 0.72. What is the probability of both events occurring?

a. 0.72
b. 0.25
c. 0.18
d. 0.97

1 answer

Since the probability of the events occurring is independent, we can multiply the probabilities of each event occurring to find the probability of both events occurring.

Probability of buying a hat = 0.25
Probability of buying a pair of gloves = 0.72

Probability of both events occurring = Probability of buying a hat * Probability of buying a pair of gloves
= 0.25 * 0.72
= 0.18

Therefore, the probability of both events occurring is 0.18.

Answer: c. 0.18