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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) = (π‘‚π‘’π‘‘π‘π‘œπ‘šπ‘’π‘  π‘€β„Žπ‘’π‘Ÿπ‘’ π‘›π‘’π‘šπ‘π‘’π‘Ÿ 𝑖𝑠 π‘π‘Ÿπ‘–π‘šπ‘’)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ ) = 6/36 = 1/6 1/2 marks

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.