a) Are these two events mutually exclusive? Why or why not? O A. The events are mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. O B. The events are mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. O C. The events are not mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. O D. The events are not mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. b) Are these two events independent? Why or why not? O A. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two equal zero. O B. The events are independent. If a total of three is rolled then the probability of both dice being a total of two does not change. O C. The events are independent. If a total of three is rolled then the probability of both dice being a total of two equal zero. O D. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two does not change.

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Consider the following two events that involve rolling a pair of dice. Complete parts a and b below. A= Rolling a total of three B= Rolling a total of two a) are these two events mutually exclusive? Why or why not question? b) are these two events independent? Why or why not?
Consider the following two events that involve rolling a pair of dice. Complete parts a) and b) below.
A= Rolling a total of three
B= Rolling a total of two
a) Are these two events mutually exclusive? Why or why not?
O A. The events are mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment.
O B. The events are mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment.
O C. The events are not mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment.
O D. The events are not mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment.
b) Are these two events independent? Why or why not?
O A. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two equal zero.
O B. The events are independent. If a total of three is rolled then the probability of both dice being a total of two does not change.
O C. The events are independent. If a total of three is rolled then the probability of both dice being a total of two equal zero.
O D. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two does not change.
Transcribed Image Text:Consider the following two events that involve rolling a pair of dice. Complete parts a) and b) below. A= Rolling a total of three B= Rolling a total of two a) Are these two events mutually exclusive? Why or why not? O A. The events are mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. O B. The events are mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. O C. The events are not mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. O D. The events are not mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. b) Are these two events independent? Why or why not? O A. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two equal zero. O B. The events are independent. If a total of three is rolled then the probability of both dice being a total of two does not change. O C. The events are independent. If a total of three is rolled then the probability of both dice being a total of two equal zero. O D. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two does not change.
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