Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

Box $1$ has $2$ white balls, while Box $2$ contains $4$ white balls and $3$ black balls.
(a(i))[1]

Ann picks, at random, one ball from each box. Find the probability that both balls are black.

(a(ii))[1]

Find the probability that the balls are of different colours.

(b)[1]

Starting with the original contents of Box $2$, Belle chooses, at random, two balls without replacement. Find the probability that both balls are white.

(c)[2]

Carla selects one of the boxes at random. Using the original box contents, she then chooses, at random, one ball from that box. Find the probability that the ball is white.

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