Suppose that an experiment is repeated four times. a certain event has probability 1 in a single repetition of the
experiment. what is the probability that it occurs at least once?

a. 729/10,000

b. 3,439/10,000

c. 2,187/10,000

The correct answer is B. 3,439/10,000

Correct statement and question:

Suppose that an experiment is repeated four times. A certain event has probability of 0.1 in a single repetition of the  experiment. What is the probability that it occurs at least once?  

A. 729/10,000  

B. 3,439/10,000  

C. 2,187/10,000

Source: Previous question that can be found at

Step-by-step explanation:

1. Let's find out the probability of the event occurs at least once in the four repetitions of the experiment, this way:

Probability that the event never occurs = (0.9 * 0.9 * 0.9 * 0.9)

Probability that the event never occurs = 0.6561

Therefore, the probability that it occurs at least once = 1 - 0.6561

Probability that it occurs at least once = 0.3439

0.3439 = 3,439/10,000

The correct answer is B. 3,439/10,000

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