Exam Questions & Step-by-Step Markschemes (50 Problems)
Question 1 • 2024
3 Marks
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is: (i) 8 (ii) 13 (iii) Less than or equal to 12?
Answer: (i) \ \frac{5}{36} \quad (ii) \ 0 \quad (iii) \ 1
Question 2 • 2026
1 Marks
Assertion (A) : The probability that a leap year has 53 Mondays is \frac{2}{7} .<br>Reason (R) : The probability that a non-leap year has 53 Mondays is \frac{5}{7} .
Answer: (c) Assertion (A) is true, but Reason (R) is false.
Question 3 • 2023
1 Marks
A bag contains 5 pink, 8 blue and 7 yellow balls. One ball is drawn at random from the bag. What is the probability of getting neither a blue nor a pink ball?
Answer: Option (C) : \frac{7}{20}
Question 4 • 2024
1 Marks
A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is :
Answer: Option (A) : \frac{1}{3}
Question 5 • 2025
1 Marks
A bag contains red balls and black balls in the ratio 3:7 . A ball is drawn at random. The probability that ball so drawn is black in colour, is
Answer: Option (C) : 0.7
Question 6 • 2025
1 Marks
A bag contains red coloured, blue coloured and green coloured balls in the ratio 2 : 3 : 4 . A ball is drawn at random from the given bag. The probability that the ball so drawn being not of blue colour is
Answer: Option (C) : \frac{2}{3}