Mathematics · May / June 2023 · Paper 22 · Question 23
0580
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Bag A and bag B each contain red sweets and yellow sweets. Anna picks a sweet at random from bag A. Ben picks a sweet at random from bag B. The probability that Anna picks a red sweet is 5 2. The probability Anna and Ben both pick a yellow sweet is 10 1 . Find the probability that Anna and Ben both pick a red sweet. [3]
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1 3 oe [3]
M1 for 2 × p = 1 1 − 10 oe 5 2 ( ) 5 × −their p where 0 < their p < 1
M1 for 1
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