Two coins are tossed ,find the probability that two heads are obtained.

Options

A. `(1)/(4)`
B. `(1)/(6)`
C. `(1)/(2)`
D. `(1)/(5)`

Answer

To solve the problem of finding the probability of obtaining two heads when two coins are tossed, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Experiment**: We are tossing two coins. Each coin can land on either heads (H) or tails (T).

2. **Determine the Total Outcomes**: When two coins are tossed, the possible outcomes can be listed as:
- HH (both coins show heads)
- HT (first coin shows heads, second coin shows tails)
- TH (first coin shows tails, second coin shows heads)
- TT (both coins show tails)

Therefore, the total number of outcomes is 4.

3. **Identify the Favorable Outcomes**: We are interested in the event where both coins show heads. From our list of outcomes, we see that there is only 1 favorable outcome:
- HH

Thus, the number of favorable outcomes is 1.

4. **Calculate the Probability**: The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]

Substituting the values we found:
\[ \text{Probability of getting 2 heads} = \frac{1}{4} \]

5. **Conclusion**: The probability of obtaining two heads when two coins are tossed is \( \frac{1}{4} \).