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

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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) = (๐‘‚๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘–๐‘  ๐‘๐‘Ÿ๐‘–๐‘š๐‘’)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 6/36 = 1/6 1/2 marks

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.