Grade 9 : Mathematics - 15. Probability (Set 2)

Question 1

A coin is tossed 100 times and heads is obtained 54 times.

What is the empirical probability of getting a tail?

Accepted Answer

A) 0.46

Answer

B) 0.54

Answer

C) 0.44

Answer

D) 0.50

Question 2

A die is thrown 200 times. The outcome of getting the number 4 is recorded 35 times.

What is the empirical probability of getting the number 4?

Accepted Answer

B) 0.175

Answer

A) 0.150

Answer

C) 0.200

Answer

D) 0.350

Question 3

In a survey of 250 students, 150 like tea while 100 do not like tea.

If a student is chosen at random, what is the probability that the student does NOT like tea?

Accepted Answer

C) $\frac{2}{5}$

Answer

A) $\frac{3}{5}$

Answer

B) $\frac{1}{2}$

Answer

D) $\frac{1}{5}$

Question 4

A bag contains 5 red, 7 green, and 8 blue balls. A ball is drawn at random from the bag.

What is the probability of drawing a green ball?

Accepted Answer

A) $\frac{7}{20}$

Answer

B) $\frac{1}{4}$

Answer

C) $\frac{2}{5}$

Answer

D) $\frac{7}{13}$

Question 5

A fair spinner has 8 equal sections numbered 1 through 8.

What is the probability that the spinner lands on a prime number?

Accepted Answer

D) $\frac{1}{2}$

Answer

A) $\frac{3}{8}$

Answer

B) $\frac{1}{4}$

Answer

C) $\frac{5}{8}$

Question 6

A card is drawn from a standard deck of 52 playing cards.

What is the probability of drawing a face card (Jack, Queen, or King)?

Accepted Answer

B) $\frac{3}{13}$

Answer

A) $\frac{1}{13}$

Answer

C) $\frac{4}{13}$

Answer

D) $\frac{1}{4}$

Question 7

A box contains 50 light bulbs, out of which 6 are defective.

What is the probability that a bulb selected at random is NON-defective?

Accepted Answer

C) $\frac{22}{25}$

Answer

A) $\frac{3}{25}$

Answer

B) $\frac{6}{50}$

Answer

D) $\frac{24}{25}$

Question 8

Two coins are tossed simultaneously 300 times. Two heads appear 75 times, one head appears 150 times, and no head appears 75 times.

What is the empirical probability of getting at least one head?

Accepted Answer

A) $\frac{3}{4}$

Answer

B) $\frac{1}{2}$

Answer

C) $\frac{1}{4}$

Answer

D) $\frac{2}{3}$

Question 9

What is the probability of an impossible event?

Accepted Answer

B) 0

Answer

A) 1

Answer

C) -1

Answer

D) 0.5

Question 10

Which of the following numbers CANNOT be the probability of an event?

Accepted Answer

B) -1.5

Answer

A) $\frac{2}{3}$

Answer

C) 15%

Answer

D) 0.7

Question 11

In a class test, marks of 30 students were recorded. Exactly 12 students scored above 80% marks.

What is the probability that a randomly chosen student scored 80% or below?

Accepted Answer

C) $\frac{3}{5}$

Answer

A) $\frac{2}{5}$

Answer

B) $\frac{1}{3}$

Answer

D) $\frac{4}{5}$

Question 12

The sum of the probabilities of all elementary events of an experiment is equal to:

Accepted Answer

D) 1

Answer

A) 0

Answer

B) 0.5

Answer

C) 2

Question 13

A letter is chosen at random from the letters of the word 'MATHEMATICS'.

What is the probability that the chosen letter is a vowel?

Accepted Answer

A) $\frac{4}{11}$

Answer

B) $\frac{3}{11}$

Answer

C) $\frac{5}{11}$

Answer

D) $\frac{7}{11}$

Question 14

In a trial of 500 batches of seeds, 380 batches germinated successfully.

What is the empirical probability that a randomly selected seed batch does NOT germinate?

Accepted Answer

B) 0.24

Answer

A) 0.76

Answer

C) 0.12

Answer

D) 0.38

Question 15

A card is selected at random from a standard 52-card deck.

What is the probability of drawing an Ace?

Accepted Answer

C) $\frac{1}{13}$

Answer

A) $\frac{1}{52}$

Answer

B) $\frac{1}{26}$

Answer

D) $\frac{1}{4}$

Question 16

A single unbiased die is rolled once.

What is the probability of rolling a number strictly greater than 4?

Accepted Answer

A) $\frac{1}{3}$

Answer

B) $\frac{1}{2}$

Answer

C) $\frac{2}{3}$

Answer

D) $\frac{1}{6}$

Question 17

A piggy bank contains 100 fifty-paise coins, 50 one-rupee coins, 20 two-rupee coins, and 10 five-rupee coins.

If one coin falls out at random, what is the probability that it is a fifty-paise coin?

Accepted Answer

D) $\frac{5}{9}$

Answer

A) $\frac{5}{18}$

Answer

B) $\frac{1}{2}$

Answer

C) $\frac{4}{9}$

Question 18

If the probability of an event $E$ occurring is $P(E) = 0.05$.

What is the probability of the event 'not $E$'?

Accepted Answer

B) 0.95

Answer

A) 0.05

Answer

C) 0.50

Answer

D) 1.05

Question 19

A box contains tickets numbered 1 to 20. One ticket is drawn at random.

What is the probability that the ticket bears a number which is a multiple of 3?

Accepted Answer

C) $\frac{3}{10}$

Answer

A) $\frac{1}{3}$

Answer

B) $\frac{1}{4}$

Answer

D) $\frac{7}{20}$

Question 20

In an experiment, a coin is tossed 500 times. Head appears 240 times and Tail appears 260 times.

What is the sum of the empirical probabilities of getting a Head and getting a Tail?

Accepted Answer

A) 1

Answer

B) 0.58

Answer

C) 0.48

Answer

D) 0.52

Grade 9 : Mathematics - 15. Probability (Set 2)