Chapter 10 (Balbharati) · Class 9 Maharashtra SSC · Worksheet

Probability (संभाव्यता) Worksheet — Class 9 Maharashtra SSC Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Questions — Probability (संभाव्यता)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements correctly defines the experimental probability of an event E?

A.A) P(E) = (Total number of outcomes) / (Number of times E happened)

B.B) P(E) = (Number of times E happened) / (Total number of trials)

C.C) P(E) = (Number of favourable outcomes) / (Total number of possible outcomes)

D.D) P(E) = (Total number of trials) - (Number of times E happened)

Difficulty: Easy

Q2.Which of the following values cannot be the probability of an event?

A.A) 0.7

B.B) 1/2

C.C) 1.5

D.D) 0

Difficulty: Easy

Q3.If P(E) is the probability of an event E, what is the probability of the event 'not E'?

A.A) 1 - P(E)

B.B) 1 / P(E)

C.C) P(E)

D.D) 0

Difficulty: Easy

Q4.A coin is tossed 200 times. The outcomes are recorded as follows: Heads: 110 times, Tails: 90 times. What is the experimental probability of getting a Head?

A.A) 9/20

B.B) 11/20

C.C) 1/2

D.D) 11/9

Difficulty: Easy

Q5.A die is rolled 300 times and the outcomes are noted: Outcome | 1 | 2 | 3 | 4 | 5 | 6 --------|---|---|---|---|---|--- Frequency | 50 | 45 | 55 | 60 | 40 | 50 What is the experimental probability of getting an outcome greater than 4?

A.A) 1/6

B.B) 3/10

C.C) 1/3

D.D) 1/5

Difficulty: Easy

Q6.A survey was conducted on 200 students to find their favourite sport. The results are: Sport | Cricket | Football | Badminton | Basketball | Tennis ------|---------|----------|-----------|------------|-------- Number of Students | 80 | 50 | 30 | 25 | 15 What is the experimental probability that a randomly chosen student likes Badminton?

A.A) 3/20

B.B) 1/4

C.C) 3/10

D.D) 1/8

Difficulty: Easy

Q7.A student, Ravi, performed an experiment where he drew a card from a deck 50 times, replacing it each time. He found that a red card was drawn 35 times. He calculated the probability of drawing a red card as 7/10. His friend, Priya, said he made a mistake and the probability should be 1. Why might Priya think Ravi made a mistake?

A.A) Probability cannot be a fraction.

B.B) Probability cannot be less than 1.

C.C) Ravi should have considered that the deck has an equal number of red and black cards, so the probability must be 1/2.

D.D) Priya is incorrect; Ravi's calculation is correct based on the experimental data.

Difficulty: Easy

Q8.Two events, A and B, were observed in an experiment with 100 trials. Event A occurred 45 times, and Event B occurred 60 times. Which of the following statements is true?

A.A) Event A is more likely to occur than Event B.

B.B) Event B is more likely to occur than Event A.

C.C) Both events are equally likely.

D.D) It is impossible to compare their likelihoods with the given information.

Difficulty: Easy

Answer Key — Sample Questions+

Q1:B) P(E) = (Number of times E happened) / (Total number of trials)

Q2:C) 1.5

Q3:A) 1 - P(E)

Q4:B) 11/20

Q5:B) 3/10

Q6:A) 3/20

Q7:D) Priya is incorrect; Ravi's calculation is correct based on the experimental data.

Q8:B) Event B is more likely to occur than Event A.

Download the full PDF for all 30 answers with step-by-step solutions.