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Below, the two-way table is given for a classof students.FreshmenSophomore Juniors Seniors TotalMale4622Female 3463TotalIf a student is selected at random, find theprobability the student is a male given that it's asophomore.

Below The Twoway Table Is Given For A Classof StudentsFreshmenSophomore Juniors Seniors TotalMale4622Female 3463TotalIf A Student Is Selected At Random Find The class=

Sagot :

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

We want to calculate the probability the student is a male given that it's a sophomore. Since we already know the student is a sophomore, the possible outcomes are only male sophomores(6) and female sophomores(4) and the favourable outcomes are the male sophomores(6), therefore, this probability is:

[tex]P(Male|Sophomore)=\frac{6}{6+4}=\frac{6}{10}=\frac{60}{100}=60\%[/tex]

The probability the student is a male given that it's a sophomore is 60%.

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