Probability Tree Worksheet Page 3

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2. 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) Complete the probability tree diagram.
1st game
2nd game
Win
...............
...............
Win
Draw
Lose
...............
0.5
Win
...............
0.3
...............
Draw
Draw
Lose
...............
...............
Win
...............
...............
Lose
Draw
Lose
...............
(2)
(b) Work out the probability that Vishi will win both games.
.....................................
Q2
(2)
(Total 4 marks)

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