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InterviewSolution
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The table given below shows the months of birth of 40 students of a class in a school . If one student is chosen at random , what is the probability that the student is born (i) in the latter half of the year ? (ii) in a month having 31 days ? (iii) in a month having 30 days ? |
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Answer» Total number of students in the class = 40. (i) Let `E_(1)` be the event that the chosen student is born in the latter half of the year . Then , `P(E_(1)) = ("no., of students born in latter half of the year ")/(" total number of students ")` `= (2 + 6 + 3 + 4 + 4 + 4)/(40) = (23)/(40) = 0.575` (ii) Let `E_(2)` be the event that the chosen student is born in a month having 31 days . then , `P(E_(2)) = ("number of students born in a month having 31 days")/("total number of students")` `= (3 + 2 + 5 + 2 + 6 + 4 + 4 )/(40) = (26)/(40) = (13)/(20) = 0.65` (iii) Let `E_(3)` be the event that the chosen student is born in a month having 30 days . then , `P(E_(2)) = ("number of students born in a month having 30 days")/("total number of students ")` = `(2 + 1 + 3 + 4)/(40) = (10)/(40) = (1)/(4) = 0.25`. |
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