Chapter 12, Problem 49CR

To determine

Verify that two events are dependent or independent.

Answer to Problem 49CR

Two events are independent events.

Explanation of Solution

Given information:

You spin a spinner has $5$ equal sections and pick a marble from a bag containing $2$ green marbles and $4$ blue marbles.

Calculation:

Consider that a spinner has $5$ equal sections and pick a marble from a bag containing $2$ green marbles and $4$ blue marbles.

Now, we have to verify that two events are dependent or independent.

Dependent event: two events are dependent if the occurrence of first event affects the probability of second event.

Independent event: two events are independent if the occurrence of first event does not affect the probability of second event.

It is observed that every time spinner contains five equal sections it shows only one section at a time.

Means the occurrence of first event does not affect the probability of second event.

Hence, the two events are independent events.