# For tossing a coin three times, find the probability that she loses the entry fee. In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose

**Solution:**

Given, the entry fee in a game is Rs. 5

The game consists of tossing a coin 3 times.

If one or two heads show up, Sweta gets her entry fee back.

If she throws 3 heads, she receives double the entry fees.

Otherwise she will lose.

We have to find the probability that she loses the entry fee.

When a coin is tossed three times.

The possible outcomes are {TTT, HHH, TTH, THT, THH, HTT, HTH, HHT}

Number of possible outcomes = 8

Favourable outcomes = Sweta loses when she throws 3 tails = TTT

Number of favoruable outcomes = 1

Probability = number of favourable outcomes / number of possible outcomes

Probability = 1/8

Therefore, the probability that Sweta loses her entry fee is 1/8.

**✦ Try This: **In a game, the entry fee is Rs 6. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 tails, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she loses the entry fee.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 38(i)**

## For tossing a coin three times, find the probability that she loses the entry fee. In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose

**Summary:**

In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, the probability that she loses the entry fee is 1/8

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