In a simultaneous throw of two coins find the probability of
two heads ,

Answer

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

### Step 1: Identify the Sample Space
When two coins are tossed, the possible outcomes can be listed as follows:
- HH (Head on the first coin and Head on the second coin)
- HT (Head on the first coin and Tail on the second coin)
- TH (Tail on the first coin and Head on the second coin)
- TT (Tail on the first coin and Tail on the second coin)

Thus, the sample space (S) is:
\[ S = \{ HH, HT, TH, TT \} \]

### Step 2: Count the Total Outcomes
From the sample space, we can see that there are a total of 4 possible outcomes:
\[ \text{Total Outcomes} = 4 \]

### Step 3: Identify the Favorable Outcomes
We are interested in the event of getting two heads (HH). There is only one favorable outcome for this event:
- HH

Thus, the number of favorable outcomes (F) is:
\[ \text{Favorable Outcomes} = 1 \]

### Step 4: Calculate the Probability
The probability (P) of an event is given by the formula:
\[ P(E) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \]

Substituting the values we found:
\[ P(\text{Two Heads}) = \frac{1}{4} \]

### Final Answer
The probability of getting two heads when two coins are tossed is:
\[ \frac{1}{4} \]

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