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Consider three consecutive cricket matches. What is the probability that the captain of your favourite team will win the toss:
1 all three times.
2 only once.
3 at least once.
in Grade 11 Maths Literacy by Diamond (38,545 points) | 29 views

1 Answer

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1.    P(W ∩ W ∩ W) = (1/2)x(1/2)x(1/2) = (1/8)

2.    P (win once) = P(W ∩ L ∩ L) ∪ (L ∩ W ∩ L) ∪ (L ∩ L W)

= P(W) . P(L) . P(L) + P(L) . P(W) . P(L) + P(L) . P(L) . P(W)

= (1/8) + (1/8) + (1/8) = (3/8)

3.    P(at least one win)=P(one or more wins)

=1-P(no wins) = 1 - P(L ∩ L ∩ L) = 1 - (1/8) = 7/8

by Silver Status (28,731 points)

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