Find the probability of getting exactly one head when two coins are tossed.


Given :

The given situation is two coins are tossed.

To find :

We have to find  the probability of getting exactly one head when two coins are tossed.


Solution :  

When two coins are tossed simultaneously, the possible outcomes are {HH,HT,TH,TT}

where H is the outcome of heads turning up and T is the outcome of tails turning up.

$$Probability = \frac{Number of favorable outcomes}{Total number of outcomes}$$

Total number of outcomes = 4.

Number of outcomes in which exactly one head turns up = 2   (HT,TH)

The probability of getting exactly one head when two coins are tossed $= \frac{2}{4} = \frac{1}{2}$.

The probability of getting exactly one head when two coins are tossed is $ \frac{1}{2}$.


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Updated on: 10-Oct-2022

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