Chapter 0.5, Problem 6E

To determine

To find: The probability of a student driving while texting or getting into an accident while driving.

Answer to Problem 6E

The probability of a student driving while texting or getting into an accident while driving is 0.18.

Explanation of Solution

Given information:

The probability of a student driving while texting was 0.16, the probability of a student getting into an accident while driving was 0.07 and the probability of a student getting into an accident while driving and texting was 0.05.

Calculation:

We know that $P\left(A\text{ or}B\right)=P\left(A\right)+P\left(B\right)-P\left(A\text{ and}B\right)$

  $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

So the required probability is $0.16+0.07-0.05=0.18$

Thus, the probability of a student driving while texting or getting into an accident while driving is 0.18.