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Jason wrote a computer program that randomly generates one of the letters of his name. He runs the program three times. What is the probability that it generates either a "J" or an "n" all three times? Answer options with 4 options A. StartFraction 1 over 125 EndFraction B. StartFraction 8 over 125 EndFraction C. StartFraction 3 over 25 EndFraction D. StartFraction 2 over 5 EndFraction

Question

Jason wrote a computer program that randomly generates one of the letters of his name. He runs the program three times.

What is the probability that it generates either a "J" or an "n" all three times?

Answer options with 4 options A. StartFraction 1 over 125 EndFraction

B. StartFraction 8 over 125 EndFraction

C. StartFraction 3 over 25 EndFraction

D. StartFraction 2 over 5 EndFraction

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Solution

The name "Jason" has 5 letters, and among them, "J" and "n" are 2. So, the probability of getting either "J" or "n" in one trial is 2 out of 5, or 2/5.

Since the program is run three times, and we assume each run is independent, we multiply the probabilities together to get the overall probability.

So, the probability of getting either "J" or "n" all three times is (2/5) * (2/5) * (2/5) = 8/125.

So, the correct answer is B. StartFraction 8 over 125 EndFraction.

This problem has been solved

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