Question

Three coins are thrown together find the probability of two head and one tail

Answer 1

To find the probability of getting exactly two heads and one tail when three coins are thrown, we can follow these steps:

1. **Determine the total number of possible outcomes**:
Each coin can show either heads (H) or tails (T). When three coins are thrown, the total number of possible outcomes is:
\[
2^3 = 8
\]
The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

2. **Determine the number of favorable outcomes for exactly two heads and one tail**:
We can get two heads and one tail in the following combinations:
- HHT
- HTH
- THH

Thus, there are 3 favorable outcomes.

3. **Calculate the probability**:
The probability of an event is given by the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
Substituting the values, we get:
\[
\text{Probability} = \frac{3}{8}
\]

Therefore, the probability of getting exactly two heads and one tail when three coins are thrown is \(\frac{3}{8}\).