select the correct answer. which pair of events is dependent? a. you get a head and a tail in two coin…

select the correct answer. which pair of events is dependent? a. you get a head and a tail in two coin tosses with two different coins. b. you get a head and a tail in two coin tosses using the same coin twice. c. you pick two numbered billiard balls from a bag of balls one after the other without replacement. d. you draw two red cards one after the other with replacement.

select the correct answer. which pair of events is dependent? a. you get a head and a tail in two coin tosses with two different coins. b. you get a head and a tail in two coin tosses using the same coin twice. c. you pick two numbered billiard balls from a bag of balls one after the other without replacement. d. you draw two red cards one after the other with replacement.

Answer

Brief Explanations:

Dependent events are those where the outcome of the first event affects the outcome of the second event. In option C, when picking two numbered billiard balls one - after the other without replacement, the composition of the remaining balls in the bag changes after the first pick, thus affecting the probability of the second pick. In options A, B, and D, the first event does not affect the second event. Coin tosses are independent of each other, and drawing cards with replacement means the deck composition remains the same for the second draw.

Answer:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.