Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is

(a) 5/36  (b) 11/36   (c) 12/26   (d) 23/36

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Transcript

Question 27 Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is (a) 5/36 (b) 11/36 (c) 12/26 (d) 23/36 Total Number of outcomes = 36 Number of outcomes where 5 will come up atleast once = 11 Probability that 5 will come atleast once = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤ℎ𝑒𝑟𝑒 5 𝑤𝑖𝑙𝑙 𝑐𝑜𝑚𝑒 𝑎𝑡𝑙𝑒𝑎𝑠𝑡 𝑜𝑛𝑐𝑒)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 𝟏𝟏/𝟑𝟔 So, correct answer is (b)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.