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A student flips a coin three times. What is the probability the coin lands tails up exactly two times? The probability is

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Given data:

The numbers of times coin flipped is n=3.

The sample space is,


S=\mleft\lbrace(\text{HHH}\mright),\text{ (HHT), (HTH), (HTT), (THH), (THT), (TTH), (TTT)}\}

The expression for the probability of getting exactly 2 times tail is,


P(2T)=(3)/(8)

Thus, the probability of getting exactly 2 times tail is 3/8.

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