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Foundation November 2022 Paper 2 Q13

EduqasFoundationCurrent spec5 marksBasic ProbabilityMultiple Events

13. Hubert plays a game.
He spins these two fair spinners.

Spinner 1: a triangle divided into three equal parts numbered 1, 2, 3. Spinner 2: a square divided into four equal parts numbered 1, 2, 3, 4

Hubert calculates a score. He squares the number on spinner 1 and multiplies it by the number on spinner 2.

(a) Complete the table below to show all the possible scores. [2]
Table with Spinner 1 values 3, 2, 1 down the side and Spinner 2 values 1, 2, 3, 4 along the bottom; given entries: 9 for (3, 1), 16 for (2, 4) and 1 for (1, 1); the rest blank
(b)

To win the game Hubert must score more than 9.
He plays the game 108 times.

How many times would you expect him to win? [3]

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