Question

In: Statistics and Probability

There are n boxes, the 1st one containing 1 glass, the 2nd box containing 2 glasses,...

There are n boxes, the 1st one containing 1 glass, the 2nd box containing 2 glasses, the 3rd box containing 3 glasses, . . . , kth box containing k glasses, . . . nth box containing n glasses. In each box every glass is broken with probability 1/2 independently of all other glasses. A contestant chooses a box uniformly at random. Given that he found no broken glasses in this box, find the probability that he choose the 1st box. Simplify your answer.

Solutions

Expert Solution

Given Information:

Defining the events:

X: A contestant found no broken glass in the box.

A: Contestant has chosen Box 1.

B: Contestant has chosen Box 2.

K: Contestant has chosen Box k.

N: Contestant has chosen Box n.

orchestra answered 1 year ago
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