Chapter 13.6, Problem 15PPS

To determine

To determine the probability.

Answer to Problem 15PPS

Probability is $\frac{7}{16}$ or 43.75%

Explanation of Solution

Given information :

10 chose a card

12 chose a T-shirt

6 chose a video

4 chose a braclet

Total students = 32

Two events can be mutually exclusive if there is no common outcome of the both events. Whereas if there is any common outcome then the events becomes not mutually exclusive events.

Here the given events are mutually exclusive.

Total students are 32.

Probability that a student get a card is $\frac{10}{32}$

Probability that a student get a bracelet is $\frac{4}{32}$

Now,

P(getting card or getting bracelet) $=\frac{10}{32}+\frac{4}{32}=\frac{14}{32}=\frac{7}{16}$ or 43.75%