Respuesta :

The probability that the first 7 flips will be heads and the remaining 8 flips will be tails if a fair coin is tossed 15 times is

Where H is heads and T is tails

We know that,

Probability of heads in a fair coin = 1/2

Probability of tails in a fair coin = 1/2

Hence,

Probability of heads for the first 7 heads = [tex](\frac{1}{2} )^{7}[/tex]

Probability of tails for the last 8 tails = [tex](\frac{1}{2} )^{8}[/tex]

Probability that the first 7 flips will be heads and the remaining 8 flips will be tails if a fair coin is tossed 15 times = [tex](\frac{1}{2} )^{7}*(\frac{1}{2} )^{8}[/tex].

To learn more about probability, here:-

https://brainly.com/question/11234923

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