Consider the following two events that involve flipping a single coin and rollin

Question

Consider the following two events that involve flipping a single coin and rolling one six-sided die. Complete parts a) and b) below. A Coin comes up heads B-Rolling a five with the die a) Are these two events mutually exclusive? Why or why not? a five during the experiment O A. The events are not mutually exclusive. The event of the coin coming up heads cannot occur at the same time as rolling O B. The events are mutually exclusive. The event of the coin coming up heads cannot occur at the same time as rolling a five during the experiment. 0 C The events are not mutually exclusive. The event of the coin coming up heads can occur at he same time as rolling a ve during the experiment. O D. The events are mutually exclusive. The event of the con coming up heads can occur at the same time as rolling a ve during the experiment. b) Are these two events independent? Why or why not? O A. The events are dependent. The event of the coin coming up heads influences the probability of rolling a five O B. The events are independent. The event of the coin coming up heads influences the probability of rolling a five. O C. The events are independent. The event of the coin coming up heads does not influence the probability of rolling a five. O D. The events are dependent. The event of the coin coming up heads does not influence the probability of rolling a five

Explanation / Answer

a) These two events can occur at the same time so they are not mutually exclusive.

Option C is correct.

b) The events are independent as the probability of occuring one doesn't affect the probability of occuring other.

Option C is correct.

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