Question

Below, the two-way table is given for a class of students. Freshmen Sophomore Juniors Seniors Total Male 4 6 2 2 Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a female given that it's a junior. P( Female | Junior ) = [?] % Round to the nearest whole percent.​

Answer 1

The required probability is 3/4.We have to compute the probability

P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.

Determine the total number of juniors.Juniors=2+6=8

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Since the number of females who are junior is 6, determine the required probability.

P(Female|Junior)=6/8=3/4

Therefore, the required probability is 3/4.

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