The probability that it will rain on any particular day is 50%. Find the probability that it rains only on first 4 days of the week.

 

The probability that it will rain on any particular day is 50%. Find

Question 16 - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

 

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Question 16 The probability that it will rain on any particular day is 50%. Find the probability that it rains only on first 4 days of the week. Given P(rains) = 50% = 1/2 P(not rains) = 1 − 1/2 = 1/2 Now, P(it rains first 4 days in week) = P(rains 1st day) × P(rains 2nd day) × P(rains 3rd day) × P(rains 4th day) × P(doesn’t rain 5th day) × P(doesn’t rain 6th day) × P(doesn’t rain 7th day) = (𝟏/𝟐)^𝟒 × (𝟏/𝟐)^𝟑 = (1/2)^7 = 𝟏/𝟏𝟐𝟖

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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 and Computer Science at Teachoo