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Mathematics (AS & A Level) · May / June 2025 · Paper 52 · Question 1

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Rachel has three coins. The first coin is biased so that the probability of obtaining a head when it is thrown is 3 1. The second coin is biased so that the probability of obtaining a head when it is thrown is 4 1. The third coin is fair. Rachel throws the three coins at the same time. The random variable X is the number of tails that she obtains. Draw up the probability distribution table for X. [3]

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