Which event includes an example of a dependent event?
A)
A coin is flipped. The result is recorded. The coin is then flipped a second time.
B)
A die is rolled. The result is recorded. The die is then rolled a second time.
C)
A card is drawn from a standard deck of 52 cards. The card is replaced and a second card is drawn.
D)
A bag contains red and green marbles. A marble is drawn from the bag and is not replaced. A second marble is then drawn from the bag.

Question

Which event includes an example of a dependent event?
A)
A coin is flipped. The result is recorded. The coin is then flipped a second time.
B)
A die is rolled. The result is recorded. The die is then rolled a second time.
C)
A card is drawn from a standard deck of 52 cards. The card is replaced and a second card is drawn.
D)
A bag contains red and green marbles. A marble is drawn from the bag and is not replaced. A second marble is then drawn from the bag.

anonymous · Answer

D includes a dependent event (the second marble drawn). The first three are all independent events. Flipping a coin once does not change the probability of the results of a second coin flip. Same for dice, and cards with replacement. The key phrase indicating dependency is "not replaced." Any time you have something without replacement, you're looking at a dependent event.

anonymous · Answer

Thankyou.