NCERT MCQs For Class-9 Chapter-15 Probability | EduGrown

NCERT MCQs For Class-9 Chapter-15 Probability

1) The probability of each event, when a coin is tossed for 1000 times with frequencies: Head:455 & Tail: 545 is:

a. 0.455 & 0.545

b. 0.5 & 0.5

c. 0.45 & 0.55

d. 455 & 545

Answer: a

Explanation: Let E and F are the event of the occurrence of Head and Tail, respectively.

Probability of Occurrence of Head P(E) = No. of heads/total number of trials

P(E) = 455/1000 = 0.455

Similarly,

P(F) = No. of tails/total number of trials

P(F) = 545/1000 = 0.545

2) The sum of all probabilities equal to:

a. 4

b. 1

c. 3

d. 2

Answer: b

3) The probability of each event lies between:

a. 1 & 2

b. 1 & 10

c. 0 & 1

d. 0 & 5

Answer: c

4) If P(E) = 0.44, then P(not E) will be:

a. 0.44

b. 0.55

c. 0.50

d. 0.56

Answer: d

Explanation: We know;

P(E) + P(not E) = 1

0.44 + P(not E) = 1

P(not E) = 1 – 0.44 = 0.56

5) If P(E) = 0.38, then probability of event E, not occurring is:

a. 0.62

b. 0.38

c. 0.48

d. 1

Answer: a

Explanation: P(not E) = 1 – P(E) = 1-0.38 = 0.62

6) The probability of drawing an ace card from a deck of cards is:

a. 1/52

b. 1/26

c. 4/13

d. 1/13

Answer: d

Explanation: There are 4 aces in a deck of card.

Hence, the probability of taking one ace out of 52 card = 4/52 = 1/13

7) If the probability of an event to happen is 0.3 and the probability of the event not happening is:

a. 0.7

b. 0.6

c. 0.5

d. None of the above

Answer: a

Explanation: Probability of an event not happening = 1 – P(E)

P(not E) = 1 – 0.3 = 0.7

8) A dice is thrown. The probability of getting 1 and 5 is:

a. ⅙

b. ⅔

c. ⅓

d. ½

Answer: c

Explanation: The probability of getting 1 and 5 = 2/6 = ⅓

9) A batsman hits boundaries for 6 times out of 30 balls. Find the probability that he did not hit the boundaries.

a. ⅕

b. ⅖

c. ⅗

d. ⅘

Answer: d

Explanation: No. of boundaries = 6

No. of balls = 30

No. of balls without boundaries = 30 – 6 =24

Probability of no boundary = 24/30 = ⅘

10. Three coins were tossed 200 times. The number of times 2 heads came up is 72. Then the probability of 2 heads coming up is:

a. 1/25

b. 2/25

c. 7/25

d. 9/25

Answer: d

Explanation: Probability = 72/200 = 9/25

11.Which of the following cannot be the empirical probability of an event?
(a) 2/3
(b) 3/2
(c) 0
(d) 1

Answers: (b)

12.The sum of the probabilities of all events of a trial is
(a) 1
(b) greater than 1
(c) less than 1
(d) between 0 and 1

Answers: (A)

13.Two coins are tossed 1000 times and the outcomes are recorded as below:

The probability of getting at the most one head is:
(a) 1/5
(b) 1/4
(c) 4/5
(d) 3/4

Answers: (b)

14.A card is selected at random from a deck of 52 cards. The probability of its being a red face card is
(a) 3/13
(b) 1/2
(c) 2/13
(d) 3/26

Answers: (D)

15.In a series of 6 cricket matches, the number of runs scored by the captain of a team are 54, 32, 48, 55, 29, 35. So in the next match, the probability that he will cross the half century is
(a) 0.33
(b) 0.24
(c) 0.35
(d) 0.48

Answers: (a)

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