Question

In a Class of 100 students, if any student opts Science, then he/she can take any stream, medical or non-medical. 40 students took the non-medical stream, 30 students took medical stream. And 10 students took both medical and non-medical streams. If a student is selected at random, what is the probability that he/she is a Science student?

Answer 1

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Answer 2

The term "probability" refers to the likelihood of something occurring.

Probability can be given by,

Probability = $\frac{Possible Outcomes}{Total Outcomes}$

Given,

Total number of students in a class = 100

Number of students who took non-medical stream = 40

Number of students who took the medical stream = 30

Number of students who took both streams = 10

So, the probability of students opting for the medical and non-medical streams can be given by :

P(A∪B) = P(A) + P(B) – P(A∩B)

where, P(A) = 40,

           P(B) = 30,

           P(A∩B) =10

so, P(A∪B) = 40 + 30 - 10 = 60

So the probability of setting a science student will be given by = $\frac{60}{100}$

Hence, the probability that he/she is a Science student = $\frac{3}{5}$

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