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Three fair coins are tossed. What is the probability of no heads?

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Inna Shpiro eNotes educator | Certified Educator

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Each time a fair coin is tossed, the probability of getting tails (not heads) is 1/2 = 0.5. When three coins are tossed, the probabilities of getting tails on each coin are multiplied. Thus, the probability of no heads is

`1/2 * 1/2 *1/2 = 1/8 = 0.125`

The probability is 1/8, 0.125, or 12.5%.

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tonys538 | Student

A coin has two sides, heads and tails. Lets represent these by H and T. If three coins are tossed, the result lies in the set:

{(H,H,H), (H,H,T), (H,T,H),(H,T,T),(T,H,H), (T,H,T), (T,T,H),(T,T,T)}

There are 8 different possible outcomes and only one of them is one where there is no heads. This gives the required probability of 1/8.

acompanioninthetardis | Student

cince there is 1/2 chances per coin you multiply it three times to get your probability: 1/2*1/2*1/2= 1/8

nisarg | Student

the chances of tails is 1/2 so

1/2*1/2*1/2= 1/8

so the probability is 1/8