A coin is tossed 3 times. What is the probability of getting at least one head?

Solution:

Given, a coin is tossed 3 times.

We have to find the probability of getting at least one head.

The possible outcomes are

T H H

H T H

H H T

T T H

T H T

H T T

T T T

H H H

We observe that there is only one scenario in throwing all coins where there are no heads.

The chances for one given coin to be heads is 1/2.

The chance for all three to have the same result would be (1/2)³

= (1/2)(1/2)(1/2)

= 1/8

So, the probability to have atleast one head is 1 - 1/8

= (8 - 1)/8

= 7/8

Therefore, the probability of getting at least one head is 7/8.

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A coin is tossed 3 times. What is the probability of getting at least one head?

Summary:

A coin is tossed 3 times. The probability of getting at least one head is 7/8.