Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

The tree diagram displays the chances of a cricket team either winning or losing its first two matches. In the first match, win $\frac{1}{3}$, lose $\frac{2}{3}$. In the second match, when the first match is a win: win $\frac{3}{4}$, lose $\frac{1}{4}$. In the second match, when the first match is a loss: win $\frac{3}{4}$, lose $\frac{1}{4}$.
(main)[3]

Determine the probability that the cricket team wins at least one of the matches.

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