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Level 2: Probability Problem 29 of 87

Geometric: first success on trial k

A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.

The task

A job applicant gets an offer from each interview with probability 0.05, independently of the others. What is the probability that the first offer comes from interview number 2? Round to 4 decimal places.

What this problem teaches

The first success on trial k means k - 1 failures in a row, then one success: (1 - p)^(k - 1) × p.

A hint if you get stuck

The first success on trial k means k - 1 failures in a row, then one success: (1 - p)^(k - 1) × p.

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