Question

Identify the option below that represents dependent events.

Option 1: Drawing a face card and then drawing a 3 without replacement from a standard deck of cards
Option 2: Rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls
Option 3: Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
Option 4: Drawing a heart and drawing another heart with replacement from a standard deck of cards

Answer 1

Option 1: Drawing a face card and then drawing a 3 without replacement from a standard deck of cards represents dependent events.

Step-by-step explanation:

The option below that represents dependent events is Option 1: Drawing a face card and then drawing a 3 without replacement from a standard deck of cards.

In this scenario, the two events are dependent because the outcome of the first event affects the probability of the second event. After drawing a face card, there are fewer face cards left in the deck, which changes the probability of drawing a 3.

This is an example of sampling without replacement, where the deck changes after each draw.