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9 June, 13:50

There is a coin that is so constructed such that it has a 60% chance of landing on heads after a toss. A random experiment is designed to keep tossing this coin until two successive tails are obtained. What is the probability that this experiment is completed after the 4th toss

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  1. 9 June, 15:42
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    Probability P (completing experiment after 4 tosses) = 0.096

    Step-by-step explanation:

    There are two possibilities:2Heads, 2Tails, 3T1H

    Given: probability of getting a head = 0.6

    Probability of getting a tail=1 - 0.6=0.4

    2H2T = 2 (0.6) * 2 (0.4) = 0.0576

    3T1H = 3 (0.4) * 0.6 = 0.0384

    Probability (experiment will be completed at the 4th toss) = 0.0576 * 0.0384 = 0.096
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