NCERT Class 10 maths Chapter 15 is Probability. You will understand the concept of the occurrence of any random event in this chapter. There are two exercises of this chapter completely based on daily life applications.

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## NCERT Solutions for Class 10 Maths Chapter 15 : Probability Ex- 15.1

**Question 1:**

**Complete the following statements:**

**(i) Probability of an event E + Probability of the event ‘not E’ = __________.**

**(ii) The probability of an event that cannot happen is __________. Such an**

**event is called __________.**

**(iii) The probability of an event that is certain to happen is __________. Such an ****event is called __________.**

**(iv)The sum of the probabilities of all the elementary events of an experiment ****is__________.**

**(v) The probability of an event is greater than or equal to __________ and less ****than or equal to__________**

**Solution**:

(i) 1

(ii) 0, impossible event

(iii) 1, sure event or certain event

(iv) 1

(v) 0, 1

**Question 2:**

**Which of the following experiments have equally likely outcomes? Explain.**

**(i) A driver attempts to start a car. The car starts or does not start.**

**(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.**

**(iii) A trial is made to answer a true-false question. The answer is right or**

**wrong.**

**(iv)**

**A baby is born. It is a boy or a girl.**

**Solution**:

(i)

It is not an equally likely event. If the condition of car is good enough, the chance is high for it to start while if the condition is bad it’s starting chance becomes low. Also, it depends on different factors and for both the conditions they are not same.

(ii)

It is not an equally likely event, as it depends on player to player and also their ability.

(iii)

It is an equally likely event. We have only two possible outcome and chances for both to happen is equal.

(iv)

It is an equally likely event. We have only two possible outcome either a boy or a girl.

**Question 3:**

**Why is tossing a coin considered to be a fair way of deciding which team should ****get the ball at the beginning of a football game?**

**Solution**:

When a coin is tossed, it has only two possible outcomes and they are equally likely. Therefore, tossing of a coin is considered as a fair way to decide which team should get the ball at the beginning of a football game.

## NCERT Solutions for Class 10 Maths Chapter 15 : Probability Ex- 15.2