Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

Bag A has 5 white balls and 3 black balls, whereas bag B has 3 white balls and 1 black ball.
(a)[1]

Two balls are chosen at random from bag B without replacement. Find the probability that both balls are black.

(b(i))[2]

Complete the tree diagram shown.

(b(ii))[3]

Find the probability that both balls are the same colour.

(c)[3]

Find the probability that the ball she takes from bag B is black.

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