Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 15 17 20 52 Female 11 16 18 45 Total 26 33 38 97 If one student is chosen at random, Find the probability that the student was male GIVEN they got a 'C'.

Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 15 17 20 52 Female 11 16 18 45 Total 26 33 38 97 If one student is chosen at random, Find the probability that the student was male GIVEN they got a 'C'.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Giving a test to a group of students, the grades and gender are summarized below

	A	B	C	Total
Male	15	17	20	52
Female	11	16	18	45
Total	26	33	38	97

If one student is chosen at random,

Find the probability that the student was male GIVEN they got a 'C'.

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Expert Solution

Step 1

Probability quantifies the chances of happening an event. The probability values always lie in the range 0 and 1.

An event is a subset of the sample space. Sample space consist the set of all possible outcomes and the probability of sample space is 1. Conditional probability is the probability of occurrence of an event with some association with other events.

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