Question

At a fundraising event, Keith is drawing raffle tickets to determine winners. Keith has already drawn a ticket for the 1st prize and will next draw a name for the 2nd prize. Are these 2 events dependent or independent?

Answer 1

Dependent

Step-by-step explanation

We want to determine if the two events are dependent or independent.

Two events are said to be dependent if the occurrence of the first event affects the probability of the occurrence of the second event.

Two events are said to be independent if the occurrence of the first event does not affect the probability of the occurrence of the second event.

After the ticket for the first prize is drawn from the raffle, the total number of tickets will change and so, the probability of drawing a ticket for the second prize will be different from what it originally was.

This implies that the picking of the first ticket affects the probability of the picking of the second ticket.

Hence, the two events are dependent.