**Probability ncert solutions Chapter 15 Exercise 15.1 Question 23**

**23.** A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e, three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

**Solution:**

Let E be the event that Hanif loses the game.

The different possible outcomes are HHH, HHT, HTH, THH, TTH, THT, HTT and TTT.

Therefore, there are total of 8 different possible outcomes.

Number of possible outcomes favorable to event E=6

Total number of possible outcomes =8

P(E)=(Number of outcomes favorable to event E)/(Total number of possible outcomes)