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1 July, 02:09

a. I have five coins in my pocket - four are fair, and the other is weighted to have a 70% chance of coming up heads. I pull one out at random and flip it three times. What is the conditional probability that I get four heads given I pulled out the weighted coin?

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  1. 1 July, 02:32
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    The conditional probability that I get four heads given I pulled out the weighted coin = 0.2401

    Step-by-step explanation:

    Probability of getting 4 heads from 4 trials for a fair coin = 0.5⁴

    But given that it is the weighted coin that is pulled out,

    The probability of getting 4 heads from 4 trials = 0.7⁴ = 0 2401
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