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Conditional Probability Riddle Google Interview

Conditional Probability Riddle Google Interview Solution - 28 April

A mathematics teacher took exam of his students. Out of the total students, 25% of the students passed both the tests included in the exam. However, only 42% were able to clear the first test.

Can you find out the percentage of those students who passes the first test and also passed the second test ?

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Solution
60%

Explanation:
This type of questions call in for the application of conditional probability as the question is asking you to find out the probability that the second test was passed with the given situation that the first one was passed.

The formula for conditional probability:
P (Second/First) = P (First and Second)/ P (First)
= 0.25/0.42
=0.60
=60%"