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Question 11

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is a prime number

Two dice are thrown at the same time and the product of numbers appear

Question 11 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2


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Question 11 Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is a prime number To dice are thrown, and we note the product of numbers We know that Prime numbers are numbers with exactly 2 factors Example: 2, 3, 5, 7, 11, 13 In our case, Total outcomes where product is a prime number = 6 Total number of outcomes = 36 1/2 marks Now, P(Product is prime) = (𝑂𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤ℎ𝑒𝑟𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑖𝑠 𝑝𝑟𝑖𝑚𝑒)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 6/36 = 1/6 1/2 marks

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.