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In a game of chess, a player can either win draw or lose.
The probability that Vishi wins any game of chess is 0.5
The probability that Vishi draws any game of chess is 0.3
Vishi plays 2 games of chess

a) Draw a probability tree diagram from these starting headers.
1st Game 2nd Game












(2)
b) work out the probability that Vishi will win both games.


......................... (2)
 Feb 4, 2012

1+0 Answers

 #1
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1. A tree diagram can be:
 

 

 

 

                                                                                                         VISHY

                                                         1st game                                                                            2nd game

 

                                    W   W   W   W   W   D   D   D   L   L                                     W   W   W   W   W   D   D   D   L   L

 

 

 

 

 

2. The probability that Vishi will win both games is \(\frac{5}{10}\cdot\frac{5}{10}\), which is \(\frac{25}{100}\), which simplifies to \(\frac{1}{4}\)

 

Answer: 1/4

 Jan 10, 2024

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