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EXERCISE 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 .

**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.

**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?

**Question 4.** Which of the following cannot be the probability of an event?

(A)
2
3

(B) –1.5

(C) 15%

(D) 0.7

**Question 5.** If P(E) = 0.05, what is the probability of ‘not E’?

**Question 6.** 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?
7. 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?

**Question 8.** 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?

**Question 9.** 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?

**Question 10.** A piggy bank contains hundred 50p coins, fifty Re 1 coins, twenty Rs 2 coins and ten
Rs 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 Rs 5 coin?

**Question 11.** Gopi buys a fish from a shop for his aquarium. The
shopkeeper takes out one fish at random from a
tank containing 5 male fish and 8 female fish (see
Fig. 15.4). What is the probability that the fish taken
out is a male fish?

**Question 12.** A game of chance consists of spinning an arrow
which comes to rest pointing at one of the numbers
1, 2, 3, 4, 5, 6, 7, 8 (see Fig. 15.5 ), and these are equally
likely outcomes. What is the probability that it will
point at

(i) 8 ?

(ii) an odd number?

(iii) a number greater than 2?

(iv) a number less than 9?

**Question 13.** A die is thrown once. Find the probability of getting

(i) a prime number

(ii) a number lying between 2 and 6

(iii) an odd number.

**Question 14.** One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

** 15.** Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their
face downwards. One card is then picked up at random.

(i) What is the probability that the card is the queen?

(ii) If the queen is drawn and put aside, what is the probability that the second card
picked up is (a) an ace? (b) a queen?

**Question 16.** 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just
look at a pen and tell whether or not it is defective. One pen is taken out at random from
this lot. Determine the probability that the pen taken out is a good one.

**Question 17.** (i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot.
What is the probability that this bulb is defective?

(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb
is drawn at random from the rest. What is the probability that this bulb is not
defective ?

**Question 18.** A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random
from the box, find the probability that it bears

(i) a two-digit number

(ii) a perfect
square number

(iii) a number divisible by 5.

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- Chapter 1: REAL NUMBERS
**[Ques wise Ans]** - Chapter 2: POLYNOMIALS
**[Ques wise Ans]** - Chapter 3: PAIR OF LINEAR EQUATIONS IN TWO VARIABLE
**[Ques wise Ans]** - Chapter 6: Triangles
**[Ques wise Ans]** - Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 11 Constructions
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
- Chapter 5 Arithmetic Progressions

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- NCERT Solutions for Class 12

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