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Chapter 4: Problem 125

In a class of 35 students, 13 are seniors, 9 are juniors, 8 are sophomores, and 5 are freshmen. If one student is selected at random from this class, what is the probability that this student is a. a junior? b. a freshman?

Short Answer

Expert verified
The probability of selecting a junior is \(\frac{9}{35}\) and the probability of selecting a freshman is \(\frac{1}{7}\).

Step by step solution

01

Determine the total number of students

You need to add together the number of students in each grade. This can be done by adding 13 seniors, 9 juniors, 8 sophomores, and 5 freshmen, which gives 35 students in total.
02

Calculate the probability of selecting a junior

The probability of an event is calculated by dividing the number of favourable outcomes by the total number of outcomes. Since there are 9 juniors, the probability of selecting a junior is \(\frac{9}{35}\).
03

Calculate the probability of selecting a freshman

Using the same method, since there are 5 freshmen, the probability of selecting a freshman is \(\frac{5}{35} = \frac{1}{7}\).

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Most popular questions from this chapter

Given that \(A\) and \(B\) are two mutually exclusive events, find \(P(A\) or \(B\) ) for the following. a. \(P(A)=.47\) and \(P(B)=.32\) b. \(P(A)=.16\) and \(P(B)=.59\)

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What is the joint probability of two mutually exclusive events? Give one example.
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