Question

Decide whether the events are independent or dependent: Selecting a Queen from a standard deck (A), not replacing it, and then selecting a Jack from the deck (B).

A. Independent
B. Dependent

Answer 1

[AI-generated answer — Explain Bot]

To determine whether the events A and B are independent or dependent, we need to consider if the occurrence of event A affects the occurrence of event B.

In this scenario, event A involves selecting a Queen from a standard deck without replacing it. Event B involves selecting a Jack from the same deck.

Since the Queen is not replaced after being selected in event A, the number of cards in the deck will decrease by one. This means that the probability of event B occurring will depend on whether or not a Queen was selected in event A.

Therefore, the events A and B are dependent because the outcome of event A affects the probability of event B.