Three coins are tossed together. What is the probability of getting at least one head and one tail?

# Three coins are tossed together. What is the probability of getting at least one head and one tail?

1. A
0
2. B
$\frac{1}{2}$
3. C
$\frac{3}{4}$
4. D
1

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

It is given that three coins are tossed together.
We know that when a coin is tossed, we have two possible cases: Head (H) or Tell (T).
Sample space: Total number of possible outcomes = 8.
Now, number of favorable cases = Triplets having 1 head or 1 tail $\left\{\left(H,H,T\right),\left(H,T,H\right),\left(T,H,H\right),\left(T,T,H\right),\left(T,H,T\right),\left(H,T,T\right)\right\}$
= 6
Then,
Thus, the probability of getting at least 1 head and 1 tail is $\frac{3}{4}$.
Therefore, option 3 is correct.

## Related content

 Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)