May/June 2026 Paper 52

A box contains 3 red pens, 5 blue pens and 2 green pens. Lui chooses one pen at random from the box and keeps it. A green pen is added to the box. Mira now chooses one pen at random from the box and keeps it. Find the probability that Lui and Mira both have a blue pen.

Find the probability that Mira's pen is red.

Find the probability that Lui's pen is red given that Mira's pen is blue or green.