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If in a class, 60%
of the student study Mathematics and Science and 90%
of the student study Science, then the probability of a student studying Mathematics given that he / she is already studying Science is
(a)1/4
(b)2/3
(c)1
(d)1/2?
Most Upvoted Answer
If in a class, 60% of the student study Mathematics and Science and 90...
Calculation of Probability
To find the probability of a student studying Mathematics given that he/she is already studying Science, we can use the concept of conditional probability.

Given Information:
- 60% of students study Mathematics and Science
- 90% of students study Science

Calculation:
Let's assume there are 100 students in the class for easier calculations.
- Number of students studying Mathematics and Science = 60% of 100 = 60 students
- Number of students studying Science = 90% of 100 = 90 students

Conditional Probability Formula:
P(A|B) = P(A ∩ B) / P(B)
- P(Student studying Mathematics and Science) = 60/100 = 0.6
- P(Student studying Science) = 90/100 = 0.9

Substitute the values:
P(Student studying Mathematics and Science | Student studying Science) = P(Student studying Mathematics and Science) / P(Student studying Science)
= 0.6 / 0.9
= 2/3
Therefore, the probability of a student studying Mathematics given that he/she is already studying Science is 2/3. Hence, the correct answer is option (b) 2/3.
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If in a class, 60% of the student study Mathematics and Science and 90% of the student study Science, then the probability of a student studying Mathematics given that he / she is already studying Science is(a)1/4(b)2/3(c)1(d)1/2?
Question Description
If in a class, 60% of the student study Mathematics and Science and 90% of the student study Science, then the probability of a student studying Mathematics given that he / she is already studying Science is(a)1/4(b)2/3(c)1(d)1/2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If in a class, 60% of the student study Mathematics and Science and 90% of the student study Science, then the probability of a student studying Mathematics given that he / she is already studying Science is(a)1/4(b)2/3(c)1(d)1/2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If in a class, 60% of the student study Mathematics and Science and 90% of the student study Science, then the probability of a student studying Mathematics given that he / she is already studying Science is(a)1/4(b)2/3(c)1(d)1/2?.
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