Probability Tree Worksheet Page 7

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6. Amy is going to play one game of snooker and one game of billiards.
3
The probability that she will win the game of snooker is
4
1
The probability that she will win the game of billiards is
3
(a) Complete the probability tree diagram.
billiards
snooker
1
Amy
.........
3
wins
Amy
3
.........
wins
4
Amy does
.........
not win
Amy
.........
wins
.........
Amy does
not win
Amy does
.........
not win
(2)
(b) Work out the probability that Amy will win exactly one game.
..........................
(3)
Amy played one game of snooker and one game of billiards on a number of Fridays.
She won at both snooker and billiards on 21 Fridays.
(c) Work out an estimate for the number of Fridays on which Amy did not win either
game.
..........................
(3)
Q6
(Total 8 marks)

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