Three coins are tossed together. Find the probability of getting no tails.

Given:

Three coins are tossed together.

To do:

We have to find the probability of getting no tails.

Solution:

When three coins are tossed, the total possible outcomes are HHH, HHT, HTH, THH, TTH, THT, HTT and TTT.

This implies,

The total number of possible outcomes $n=8$.

Number of outcomes where no tails occur $=1$   

Total number of favourable outcomes $=1$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting no tails $=\frac{1}{8}$

The probability of getting no tails is $\frac{1}{8}$.