test was given to a group of students. The grades and gender are summarized below A B C Total Male 8 13 18 39 Female 4 17 2 23 Total 12 30 20 62 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'.

test was given to a group of students. The grades and gender are summarized below A B C Total Male 8 13 18 39 Female 4 17 2 23 Total 12 30 20 62 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'.

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

test was given to a group of students. The grades and gender are summarized below

	A	B	C	Total
Male	8	13	18	39
Female	4	17	2	23
Total	12	30	20	62

If one student is chosen at random from those who took the test,

Find the probability that the student was male GIVEN they got an 'A'.

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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. The formula to calculate probability is given below.

$P = \frac{Number of favourable outcomes}{Total number of outcomes}$

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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