Question

Find the probability of obtaining exactly one head when flipping eight coins. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

if the goal is to get at least 1 head when flipping a coin 8 times your probability fraction would be 1/8

Answer 2

The probability of obtaining exactly one head when flipping eight coins is 0.03125

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If sample space of flipping "n" coins is expressed as 2^n

If eight coins is flipped, the total outcome will be 2^8 = 256

If exactly one head is obtained, the expected outcome will be 8

Pr(obtaining exactly one head ) = 8/256

Pr(obtaining exactly one head ) = 0.03125

Hence the probability of obtaining exactly one head when flipping eight coins is 0.03125

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