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In a class of 125 students, 70 passed in Mathematics, 55 passed in Statistics and 30 passed in both. What is the probability that a student selected at random from the class has passed in only one subject?

In a class of 125 students, 70 passed in Mathematics, 55 passed in Statistics and 30 passed in both. What is the probability that a student selected at random from the class has passed in only one subject? Correct Answer 13/25

Given:

Total number of students = 125

Passed in Mathematic is 70, passed in Statistics is 55 and passed in both subject is 30

Concept Used:

Probability = Number of desire event / Number of total event

Calculation:

Passed in only Mathematics = 70 - 30 = 40

Passed in only Statistic = 55 - 30 = 25

⇒ Number of students passed in only one subject = (40 + 25) = 65

Probability of students passed only in one subject = 65/125 = 13/25

∴ Required probability is 13/25

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