Probability Mock Test

Class: 10 CBSE

Total Marks: 12

Time: 30 minutes

Section A: Multiple Choice (3 × 1 = 3 marks)

Question 1

A bag contains 5 red, 8 blue, and 7 yellow marbles. One marble is drawn at random. The probability that it is not red is:

a) \( \frac{1}{4} \)

b) \( \frac{3}{4} \)

c) \( \frac{7}{20} \)

d) \( \frac{13}{20} \)

Question 2

Two coins are tossed simultaneously. The probability of getting at least one tail is:

a) \( \frac{1}{4} \)

b) \( \frac{1}{2} \)

c) \( \frac{3}{4} \)

d) \( \frac{2}{3} \)

Question 3

A card is drawn from a well-shuffled deck of 52 cards. The probability of drawing a black queen is:

a) \( \frac{1}{26} \)

b) \( \frac{1}{13} \)

c) \( \frac{1}{52} \)

d) \( \frac{2}{13} \)

Section B: Short Answer (3 × 2 = 6 marks)

Question 4

A bag has 6 red and 9 black marbles.

(a) What is the probability of drawing a red marble?

(b) If one marble is drawn and replaced, then another is drawn. Find the probability that both are red.

Enter fractions in simplest form (e.g., 2/5 instead of 4/10)

Question 5

Two coins are tossed 200 times. The outcomes are:

• Two tails: 45 times
• One tail: 110 times
• No tails: 45 times

Find the probability of getting at least one tail.

Section C: Long Answer (3 × 3 = 9 marks)

Question 6

A piggy bank contains 100 coins of ₹1, 50 coins of ₹2, and 20 coins of ₹5. If a coin falls out randomly, find:

(i) \( P(\text{₹5}) \)

(ii) \( P(\text{not ₹1}) \)

(iii) \( P(\text{₹1 \text{ or } ₹2}) \)

Question 7

Two bags contain marbles:

• Bag A: 4 white, 5 black
• Bag B: 3 white, 6 black

One marble is drawn from each bag. Find the probability that:

(i) Both are white.

(ii) Both are black.

Fraction Formatting Guide: Enter fractions as numerator/denominator (e.g., 3/4). For mixed numbers, use improper fractions (e.g., 5/4 instead of 1 1/4).

Test Results

Your Score:

0

out of 12 marks

Rank

Section A

0/3

MCQ Questions

Section B

0/6

Short Answer

Section C

0/9

Long Answer

Performance Feedback

Based on your score, you have performed well. Keep practicing to improve further!

Answer Key & Your Responses

Question 1: b) \( \frac{3}{4} \)

Your answer: Not answered

Question 2: c) \( \frac{3}{4} \)

Your answer: Not answered

Question 3: a) \( \frac{1}{26} \)

Your answer: Not answered

Question 4a: \( \frac{2}{5} \)

Your answer: Not answered

Question 4b: \( \frac{4}{25} \)

Your answer: Not answered

Question 5: \( \frac{31}{40} \)

Your answer: Not answered

Question 6a: \( \frac{2}{17} \)

Your answer: Not answered

Question 6b: \( \frac{7}{17} \)

Your answer: Not answered

Question 6c: \( \frac{15}{17} \)

Your answer: Not answered

Question 7a: \( \frac{4}{27} \)

Your answer: Not answered

Question 7b: \( \frac{10}{27} \)

Your answer: Not answered