The probability the runner achieves their goal on the fourth try involves 3 failed attempts and 1 success. Therefore, the probability of this happening is the probability of failure (75%) raised to the power of the number of tries minus 1 (3), multiplied by the probability of success (25%).
P(success on the 4th try) = (0.75^3) * 0.25 = (0.421875) * 0.25 = 0.10546875
The probability that he will achieve this goal for the first time on his fourth practice run is approximately 10.55%.
A runner is determined to run a mile in 4.8 minutes or less. for this runner, the probability of achieving this goal is 25%. the runner will keep practicing until he successfully runs a mile in 4.8 minutes or less. what is the probability that he will be successful for the first time on his fourth practice run?
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