Question

List an example of two events that are independent. ​(b) list an example of two events that are dependent. ​(a) list an example of two events that are independent. choose the correct answer below.
a. a father having hazel eyes and a daughter having hazel eyes
b. selecting a queen from a standard​ deck, not replacing​ it, and then selecting a queen from the deck
c. rolling a die twice
d. not putting money in a parking meter and getting a parking ticket ​(b) list an example of two events that are dependent. choose the correct answer below.
a. tossing a coin and getting a​ head, and then rolling a​ six-sided die and obtaining a 6
b. selecting a ball numbered 1 through 12 from a​ bin, replacing​ it, and then selecting a second numbered ball from the bin
c. rolling a die twice
d. drawing one card from a standard​ deck, not replacing​ it, and then selecting another card

Answer 1

When two events are dependent, this means that one event cannot occur without the other, or simply put the two events are connected to each other in one way or the other.

When two events are independent, this means that the two events can occur separately, with one event having no effect on the occurrence of the other.

Therefore the dependent and independent events are as follows:

 

Independent event:

 c. rolling a die twice

The outcome of the first die does not affect the outcome of the second die, hence independent.

 

Dependent event:

d. drawing one card from a standard​ deck, not replacing​ it, and then selecting another card

By the act of not replacing the drawn card, we are changing the probability of selecting another card, hence dependent.