1
Question
There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a (i) boy, (ii) girl?
There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a (i) boy, (ii) girl?
Open in App
Solution
Total number of students = 35
Number of boys = 20
Number of girls = 15
(i) Let E1 be the event that the chosen student is a boy.
Therefore, P(choosing a boy) = P(E1) = Number of outcomes favorable to E1/Number of all possible outcomes = 20/35= 4/7
Thus, the probability that the chosen student is a boy is 4/7.
(ii) Let E2 be the event that the chosen student is a girl.
Therefore,
P(choosing a girl) = P(E2) = Number of outcomes favorable to E2 / Number of all possible outcomes
= 15/35 = 3/7
Thus, the probability that the chosen student is a girl is 3/7.
Total number of students = 35
Number of boys = 20
Number of girls = 15
(i) Let E1 be the event that the chosen student is a boy.
Therefore, P(choosing a boy) = P(E1) = Number of outcomes favorable to E1/Number of all possible outcomes = 20/35= 4/7
Thus, the probability that the chosen student is a boy is 4/7.
(ii) Let E2 be the event that the chosen student is a girl.
Therefore,
P(choosing a girl) = P(E2) = Number of outcomes favorable to E2 / Number of all possible outcomes
= 15/35 = 3/7
Thus, the probability that the chosen student is a girl is 3/7.
Suggest Corrections
11
Similar questions