Question

chapter 4.3 homework
score: 28/42 answered: 23/33
question 24
0/1 pt 2 99 details
4.3 conditional probability. two - way conditional table.
giving a test to a group of students, the grades and gender are summarized below

	a	b	c	total
female	12	11	10	33
total	17	26	30	73

if one student is chosen at random, find the probability that the student was male given they got a c. type as a fraction.
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Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the context of a two - way table, if $A$ is the event of being male and $B$ is the event of getting a 'C', then $P(A|B)=\frac{\text{Number of males who got a 'C'}}{\text{Total number of students who got a 'C'}}$.

Step2: Identify values from the table

From the table, the number of males who got a 'C' is 20, and the total number of students who got a 'C' is 30.

Answer:

$\frac{20}{30}=\frac{2}{3}$