Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.4 Probability and Calculus, #36 · Probability · Continuous distributions

(c) Guess the probability … of … winners (fishy question)

(a) In Problem 35, what is the chance that the first person is right and all others are wrong?

(b) Show that the probability $P_{1}$ of exactly one winner is also close to $1/ e$ .

(c) Guess the probability $P_{n}$ of $n$ winners (fishy question).

This exercise builds on another exercise in its source book, which isn't shown here.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.4 Probability and Calculus, #36

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