Question

An experiment and two events are given. Determine if the events are independent or dependent.A card is drawn randomly from a standard 52-card deck; “the card is black” and “the card is an ace, 2, or 3.”Choose the correct answer below.A. The events are independent because knowing that one event occurred does not influence the probability of the event.B. The events are dependent because knowing that one event occurred does not influence the probability of the other eventC. The events are dependent because the first event influences the secondD. The events are independent because the second event influences the first

Answer 1

The events in this experiment are dependent because drawing a black card increases the probability of drawing an ace, 2, or 3.

Step-by-step explanation:

The events in this experiment are dependent. In this scenario, a card is drawn randomly from a standard 52-card deck. The first event, 'the card is black,' and the second event, 'the card is an ace, 2, or 3,' are not independent.

To determine if events are independent or dependent, we need to see if the outcome of the first event affects the probability of the second event. In this case, drawing a black card increases the probability of drawing an ace, 2, or 3 since there are 16 black cards and only 4 aces, 2s, and 3s in the deck.

Therefore, the correct answer is C. The events are dependent because the first event influences the second.

Answer 2

Dependent events influence the probability of other events or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

The answer is:

C. The events are dependent because the first event influences the second