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Mathematics · Oct / Nov 2022 · Paper 22 · Question 19

0580

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Katy picks a number at random from the numbers 2, 3 and 5. She then picks a number at random from the numbers 5, 6, 7 and 9. When she adds the two numbers the answer is even. Find the probability that exactly one of the numbers picked is a 5. [3]

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3 7 oe [3]

M1 for clearly identifying the 7 even outcomes 2 6, 3 5, 3 7, 3 9, 5 5, 5 7, 5 9

M1 for clearly identifying the 3 even outcomes with just one five 3 5, 5 7 and 5 9 If 0 scored

SC1 for answer 1 4 oe

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