Chapter 12, Problem 48CR

To determine

Verify that two events are dependent or independent.

Answer to Problem 48CR

Two events are dependent events.

Explanation of Solution

Given information:

You pick one of $7$ names from a hat and then pick second name without replacing the first one.

Calculation:

Consider that the hat contain seven names. Second name is picked without replacing the first one.

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.

Here after picking one name from the hat there are six names remaining in the hat. So the probability of first event is $\frac{1}{7}$ and probability of second event without replacing the first name is $\frac{1}{6}$ , second event is dependent on first event,

Hence, the two events are dependent events.