In a game the entry fee is ₹5. The game consists of tossing coins 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 head, she receivers double entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she.
(i) loses the entry fee
(ii) gets double entey fee
(iii) just gets her entry fee.

Explanation

To solve the problem step by step, we will first identify the sample space for tossing three coins, then determine the probabilities for each of the three scenarios described in the question.

### Step 1: Identify the Sample Space
When tossing three coins, the possible outcomes can be represented as follows:
- HHH (3 heads)
- HHT (2 heads, 1 tail)
- HTH (2 heads, 1 tail)
- THH (2 heads, 1 tail)
...