NCERT Solutions For Probability Class 10 Chapter 14 Maths: Chapter 14 of Class 10 Maths, Probability, introduces students to the concept of chance and the likelihood of events occurring, making it an essential topic for understanding everyday uncertainties. NCERT Solutions for this chapter provides step-by-step explanations and solutions for each exercise, helping students grasp concepts like experimental and theoretical probability. With examples that link to real-life scenarios, these solutions aim to build a clear understanding and boost students’ problem-solving skills. Designed to support exam preparation, the solutions ensure students can confidently and accurately approach probability questions.
Check:
NCERT Solutions 10th Maths Chapter 14 Probability
Q1. 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 _________.
Answers: (i) 1 (ii) 0, impossible event (iii) 1, sure event or certain event (iv) 1 (v) 0, 1
Q2. 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.
Answer: (i) It is not an equally likely event, as it depends on various factors such as whether the car will start or not.
(ii) It is not an equally likely event, as it depends on the player’s ability.\
(iii) It is an equally likely event.
(iv) It is an equally likely event.
Q3. 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?
Answer: When we toss a coin, the possible outcomes are only two, head or tail, which are equally likely outcomes. Therefore, the result of an individual toss is completely unpredictable.
Q4. Which of the following cannot be the probability of an event?
(A) 2/3 (B) –1.5 (C) 15% (D) 0.7
Answer: Probability of an event is always greater than or equal to 0. Also, it is always less than or equal to one. This implies that the probability of an event cannot be negative or greater than 1. Therefore, −1.5 cannot be a probability of an event. Hence, (B)
Q5. If P(E) = 0.05, what is the probability of ‘not E’?
Answer: 0.95
Q6. A bag contains lemon flavoured candies only. Malini takes out one candy without
looking into the bag. What is the probability that she takes out
(i) an orange flavoured candy?
(ii) a lemon flavoured candy?
Answer: (i) The bag contains lemon-flavoured candies only. It does not contain any orange-flavoured candies. Thus, P (an orange-flavoured candy) = 0
(ii) P (a lemon flavoured candy) = 1
Check:
Q7. It is given that in a group of 3 students, the probability of 2 students not having the
same birthday is 0.992. What is the probability that the 2 students have the same
Birthday?
Answer: 0.008
Q8. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag.
What is the probability that the ball drawn is (i) red ? (ii) not red?
Answer: (i) Total number of balls in the bag = 8
Probability of getting a red ball = No. of favourable outcomes / No. of total possible outcomes
Probability of getting a red ball = ⅜
(ii) Probability of not getting red ball = 1 − Probability of getting a red ball = 1-⅜ = 5/8
Q9. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken
out of the box at random. What is the probability that the marble taken out will be
(i) red ? (ii) white ? (iii) not green?
Q10. A piggy bank contains hundred 50p coins, fifty ` 1 coins, twenty ` 2 coins and ten ` 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin ? (ii) will not be a ` 5 coin?
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