Mathematics

Conditional probability

Chapter: Statistics and Probability

Question 1 of 2 NDA MCQ

What is P(G | T̅) equal to?

Detailed Explanation

Explanation:

n(G ∩ T̅) = 36, n(T̅) = 36 + 27 = 63

∴ p(G | T̅) = p(G ∩ T̅) / p(T̅)

            = 36/63 = 4/7

Question 2 of 2 NDA MCQ

Consider the following data for the next three
(03) items that follow:
There are 90 applicants for a job. Some of them
are graduates. Some of them have less than
three years experience.

Let G be the event that the first applicant
interviewed is a graduate and T be the event  that first applicant interviewed has at least
3 years experience.

What is P(G ∩ T̅) equal to?

Detailed Explanation

Explanation:

n(S) = 90

G → Graduate

T → At least 3 years experience

∴ n(G ∩ T̅) = 36

∴ p(G ∩ T̅) = 36/90 = 2/5

Unlock 10,000+ Practice Questions

This is a preview of the SenaPrep Question Bank. To access comprehensive chapter-wise exercises, bookmark questions, attempt custom tests, and track your progress, download the official SenaPrep Android App.

Download Android App