Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the

experiment. What is the probability that it never occurs?

A. 6,561/10,000

B. 3/5

C. 999/10,000

The correct answer is A. 6,561/10,000

Step-by-step explanation:

Let's calculate the probabilities of the event after every repetition of the experiment, this way:

After a single repetition, the probability of the event occurring is 1/10 and 9/10 of never occurring. After two repetitions of the experiment, the probability of the event never occurring is 81/100 (9/10 * 9/10). After three repetitions of the experiment, the probability of the event never occurring is 729/1,000 (9/10 * 9/10 * 9/10). After four repetitions of the experiment, the probability of the event never occurring is 6,561/10,000 (9/10 * 9/10 * 9/10 * 9/10).

The correct answer is A. 6,561/10,000