Draw a tree diagram to represent these events and their outcomes.

What is the probability that the “Tigers” soccer team wins?

Given that the “Tigers” soccer team won, what is the probability that it rained on that day?

let R be “it rains” and W be “the ‘Tigers’ soccer team win”     A1

[1 mark]

${\text{P}}(W) = \frac{2}{5} \times \frac{2}{7} + \frac{3}{5} \times \frac{4}{7}$     (M1)

$= \frac{{16}}{{35}}$     A1

[2 marks]

${\text{P}}(R\left| W \right.) = \frac{{\frac{2}{5} \times \frac{2}{7}}}{{\frac{{16}}{{35}}}}$     (M1)

$= \frac{1}{4}$     A1

[2 marks]

This question was well answered in general.

This question was well answered in general.

This question was well answered in general.