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
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