Suppose that p = 0.1. What is the probability that more than two games will be required to win one toy? 2) he cost of each toy in this machine is €3. Suppose that there are 20 games played in this machine everyday. The machine charges €1 for each game. What is the expected net profit of this machine on one day? Here we ignore all other cost.3 3) Compute the variance of the net profit in Question (b).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In a claw machine (toy crane), one aims to grab a toy from a pool of toys. Suppose that the probability
of winning (successfully catch a toy) on each game is p.

three questions are asked:

1) Suppose that p = 0.1. What is the probability that more than two games will be
required to win one toy?

2) he cost of each toy in this machine is €3. Suppose that there are 20 games played in
this machine everyday. The machine charges €1 for each game. What is the expected net profit
of this machine on one day? Here we ignore all other cost.3

3) Compute the variance of the net profit in Question (b).

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