Question

at west view high school, every freshman (fr) and sophomore (so) has either math (m), science (s), english (e), or history (h) as the first class of the day. the two - way table shows the distribution of students by first class and grade level. which expression represents the conditional probability that a randomly selected freshman has english as the first class of the day? p( ) what is the probability that a randomly selected freshman has english as the first class of the day? 59/101 59/212 59/313 59/408

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In the context of "the conditional probability that a randomly - selected freshman has English as the first class of the day", if \(A\) is the event "has English as the first class" and \(B\) is the event "is a freshman", then \(P(E|Fr)=\frac{n(E\cap Fr)}{n(Fr)}\).

Step2: Identify the values from the table

From the table, \(n(E\cap Fr) = 59\) (the number of freshmen with English as the first - class) and \(n(Fr)=212\) (the total number of freshmen).

Answer:

The expression is \(P(E|Fr)\) and the probability is \(\frac{59}{212}\)