Question

In a class of 26 student, 15 of them like maths, 13 of them like english and 9 of them don't like maths or english.

Find the probability that a student chosen at random like english but not maths.

Answer 1

2/26

Explanation:

The total number of students = 26 students

Number of students that like maths = 15 students

Number of students that like English = 13 students

Number of students that does not like English or maths = 9

We have to find the number of students that likes both Maths and English.

Therefore,

Let x be the number of student that like both Maths and English subjects

15 - x + x + 13 - x + 9 = 26

-x + 37 = 26

-x = -11

x = 11

Number of student that offer english but not math

Number of students that like English but not Maths = Number of Students that like English - Number of students that like English and Maths

= 13 - 11 = 2

Therefore, probability that a student chosen at random like English but not Maths.

Probability = Number of events ÷ Number of possible outcomes

Number of events = Number of students that like English but not Maths= 2

Number of Possible outcomes = Total number of students = 26

The probability that a student chosen at random like English but not Maths.

= 2/26