NCERT Class X Chapter 14: Probability Example 7
NCERT Class X Chapter 14: Probability Example 7
Question:
There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?
Given:
Total number of students = 40
Number of girls = 25
Number of boys = 15
To Find:
(i) Probability of selecting a girl
(ii) Probability of selecting a boy
Formula:
Probability = Number of favorable outcomes Total number of possible outcomes
Solution:
(i) Probability of selecting a girl:
Number of favorable outcomes (girls) = 25
Total number of possible outcomes (students) = 40
Probability (girl) =
25
40
=
5
8
(ii) Probability of selecting a boy:
Number of favorable outcomes (boys) = 15
Total number of possible outcomes (students) = 40
Probability (boy) =
15
40
=
3
8
Result:
(i) The probability that the selected student is a girl is
5
8
.
(ii) The probability that the selected student is a boy is
3
8
.
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