Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

There are two bags of beads. In the first bag, there are $7$ beads altogether, with $3$ red and $4$ white. In the second bag, there are $5$ beads altogether, made up of $2$ red and $3$ blue. A bead is chosen at random from each bag.
(a)[1]

Find the probability that both beads are red.

(b)[1]

Find the probability that both beads are white.

(c)[2]

Find the probability that exactly one bead is red.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $\frac{6}{35}$.

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