Tony and Sam play chess (either of them wins, draw is not allowed). If

grasaladae5

grasaladae5

Answered question

2021-11-16

Tony and Sam play chess (either of them wins, draw is not allowed). If Tony plays White, probability of him winning is 0.72. If Tony plays Black, probability of him winning is 0.63. Tony and Sam play 2 games and in second game they change sides. Find the probability that Sam wins both games.

Answer & Explanation

Kevin Hunt

Kevin Hunt

Beginner2021-11-17Added 20 answers

Step 1
Given,
If Tony plays White, probability of him winning is 0.72.
Thus, if Sam plays white probability of winning is 10.72=0.28.
If Tony plays Black, probability of him winning is 0.63.
Thus, if Sam plays Black probability of winning is 10.63=0.37.
Step 2
The probability that Sam wins both games is calculated as follows:
Probability = Sam wins first game X Sam wins second game
=0.28×0.37
=0.1036.
The probability that Sam win both games is 0.1036.

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