Title MP DPP Sheet 27.pdf ✅

1 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 CSIR-NET/JRF DEC 2023 (Online Batch) Section: MATHEMATICAL PHYSICS Daily Practice Problem (DPP) Sheet 27: PROBABILITY (Basic Preview of Probability - I) 1. Two unbiased dice are thrown together. The probability of getting a sum 7 is (a) 1/12 (b) 1/18 (c) 1/6 (d) 1/9 2. Consider the experiment of throwing two fair dice. What is the probability that the sum of the numbers obtained in these dice is even? (a) 1/2 (b) 1/4 (c) 1/3 (d) 1/6 3. Two unbiased dice are thrown together. The probability that the sum of two numbers is at least 10 is (a) 1/12 (b) 1/18 (c) 1/6 (d) 1/9 4. Consider the experiment of throwing two fair dice. The probability that the number obtained in the second throw is multiple of the number obtained in the first throw, is (a) 7/18 (b) 1/18 (c) 1/6 (d) 7/36 5. A six faced die is thrown twice. The probability that the total score is a prime number, is (a) 2/3 (b) 1/3 (c) 5/12 (d) 1/4 6. The choice of throwing 12 in a single throw with three dice is (a) 12/216 (b) 21/216 (c) 15/216 (d) 25/216 7. A triangle is formed by joining three points of a regular hexagon. What is the probability that the triangle will be equilateral? (a) 1/6 (b) 1/10 (c) 1/12 (d) 1/20 8. Let 1 a P b c       , where a, b, c are chosen randomly from the set {1, 2, 3, 4, 5}. The probability that P is singular is (a) 2/25 (b) 1/11 (c) 2/21 (d) 1/5 9. Consider a loaded coin for which probability of getting head is 1/3. Suppose that the coin is tossed 3 times. The probability of getting at least one head, is (a) 7/8 (b) 8/27 (c) 13/27 (d) 19/27 10. A bag contains 10 black and 15 red balls. Two balls are drawn from the bag at random. The probability that two balls drawn from the bag will be of same colour? (a) 1/4 (b) 1/2 (c) 1/3 (d) 2/5