Question 3

In a family of 3 children, the probability of having at least one boy is:

(a) 7/8                                                          (b) 1/8

(c) 5/8                                                          (d) 3/4

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Transcript

Question 3 In a family of 3 children, the probability of having at least one boy is: (a) 7/8 (b) 1/8 (c) 5/8 (d) 3/4 In a family of 3 children, the possible outcomes are BBB BBG BGB GBB BGG GBG GGB GGG Thus, Total number of outcomes = 8 Number of outcomes with atleast one boy = 7 Now, P(atleast one boy) = (๐‘›(๐ด))/(๐‘›(๐‘†)) = 7/8 So, the correct answer is (a) Thus, Total number of outcomes = 8 Number of outcomes with atleast one boy = 7 Now, P(atleast one boy) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘ค๐‘–๐‘กโ„Ž ๐‘Ž๐‘ก๐‘™๐‘’๐‘Ž๐‘ ๐‘ก 1 ๐‘๐‘œ๐‘ฆ)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = ๐Ÿ•/๐Ÿ– So, the correct answer is (a)

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo