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For tossing a coin three times, find the probability that she gets double 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 tails show, Sweta gets her entry fee back. If she throws 3 tails, 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 gets double 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 = when she throws 3 heads = HHH

Number of favoruable outcomes = 1

Probability = number of favourable outcomes / number of possible outcomes

Probability = 1/8

Therefore, the probability that Sweta gets double entry fee is 1/8.

✦ Try This: In a game, the entry fee is Rs 8. 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, find the probability that she gets double entry fee.

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

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 38(ii)

For tossing a coin three times, find the probability that she gets double 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 tails show, Sweta gets her entry fee back. If she throws 3 tails, 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 gets double entry fee is 1/8

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