Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

The set contains $10$ cards altogether. Each card displays either a square or a triangle. On every card, the shape is coloured either green or red.
(a)[2]

Ken chooses one card at random from the set, records its colour and replaces it. He then chooses a second card at random from the set, records its colour and replaces it. Find the probability that both cards show a green shape.

(b)[3]

Irina selects two cards at random from the $10$ cards without replacement. Find the probability that the two cards have the same shape.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct answer $\frac{49}{100}$

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