Answer:
2/26
Step-by-step 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
