Question

An experiment succeeds thrice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

Answer 1

Answer:

65%

Step-by-step explanation:

Let the number of times failed = x

Number of times succeeded = 3x

Total number of tries = 4x

Probability of succeeding in one try = 3/4 =75%

Probability of succeeding in 4 tries = (3/4 + 3/4 + 3/4 + 3/4)/4 = 3/4 = 75%

Probability of failing one try = (3/4 + 3/4 + 3/4 + 3/4 + 1/4)/5 = 13/20 = 65%

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