GATE CSE 2018 CS Q44: Engineering Mathematics

Consider Guahati (G) and Delhi (D) whose temperatures can be classified as high (H), medium (M) and low (L). Let

denote the probability that Guahati has high temperature. Similarly,

and

denote the probability of Guahati having medium and low temperatures respectively. Similarly, we use

and

for Delhi.

The following table gives the conditional probabilities for Delhi’s temperature given Guwahati’s temperature.

Consider the first row in the table above. The first entry denotes that if Guwahati has high temperature (

) then the probability of Delhi also having a high temperature (

) is 0.40; i.e.,

. Similarly, the next two entries are

and

. Similarly for the other rows.

If it is known that

, and

, then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

EXPLORE & PRACTISE

Paper and topic context

See where this question comes from and choose what to practise next.

Explore more previous year questions using this question’s imported topic tags.

You’re not logged in. Log in or create an account to see discussions and add comments.