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The probability that a non leap year selected at random will contain 53 Sundays is

(A) 1/7Β  (B) 2/7

(C) 3/7Β  Β  (D) 5/7

Β 

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Question 11 The probability that a non leap year selected at random will contain 53 Sundays is (A) 1/7 (B) 2/7 (C) 3/7 (D) 5/7 A non leap year has 365 days Dividing by 7 Number of weeks in non-leap year = 365/7 = πŸ“πŸ 𝟏/πŸ• Thus, a non-leap year has 52 weeks, and 1 day extra That 1 extra day can be {Mon, Tues, Wed, Thur, Fri, Sat, Sun} Thus, Probability that a non leap year will contain 53 Sundays = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘†π‘’π‘›π‘‘π‘Žπ‘¦ 𝑖𝑛 π‘Ž π‘€π‘’π‘’π‘˜)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘›π‘’π‘Ÿ π‘œπ‘“ π‘‘π‘Žπ‘¦π‘  𝑖𝑛 π‘Ž π‘€π‘’π‘’π‘˜) = 𝟏/πŸ• So, the correct answer is (A)

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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.