Question

What is the probability that a student has a GPA under$2.0$ given that he or she has skipped many classes? $\left(a\right)0.080\left(b\right)0.281\left(c\right)0.285\left(d\right)0.314\left(e\right)0.727$

Short answer

The correct option is $\left(e\right)0.727$

Step-by-step solution

Step 1. Given

The table is:

Step 2. Concept

The probability of an event=$\frac{numberoffavourableoutcomes}{totalnumberofoutcomes}$

Step 3. Calculation

Given that she has skipped multiple classes, the likelihood that she has a GPA below $2.0$ is calculated as follows:

$$\begin{gathered} P(<2.0|\left|many\right)=\frac{P(<2.0andmany)}{P\left(Many\right)} \\ =\frac{{\displaystyle \frac{80}{1000}}}{{\displaystyle \frac{110}{1000}}}=0.727 \end{gathered}$$

As a result, $0.727$ is the required probability.

As a result, the best solution is (e).