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13 May, 07:24

The probability of getting a head when a biased coin is tossed is 2/5. The coin is tossed three times. Find the following probabilities and select the correct solution. P (three tails) =. P (two tails followed by one head) =.

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  1. 13 May, 07:32
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    P (three tails) = 27/125 or 21.6%

    P (two tails followed by one head) = 18/125 or 14.4%.

    Step-by-step explanation:

    1. Let's review the information provided to us to answer the questions correctly:

    Probability of getting a head when a biased coin is tossed = 2/5

    therefore,

    Probability of getting a tails when a biased coin is tossed = 3/5

    2. Find the following probabilities and select the correct solution.

    P (three tails) =

    3/5 * 3/5 * 3/5 = 27/125 or 21.6%

    P (two tails followed by one head) =

    3/5 * 3/5 * 2/5 = 18/125 or 14.4%.
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