# Question

Determine whether each of the following sets of events is mutually exclusive.

a. Five coins are tossed: “no more than one head is observed,” “two heads are observed,” “three or more heads are observed.”

b. A salesperson calls on a client and makes a sale: the amount of the sale is “less than $100,” is “between $100 and $1000,” is “more than $500.”

c. One student is selected at random from the student body: the person selected is “female,” is “male,” is “older than 21.”

d. Two dice are rolled: the numbers of dots showing on the dice are “both odd,” “both even,” “total 7,” “total 11.”

a. Five coins are tossed: “no more than one head is observed,” “two heads are observed,” “three or more heads are observed.”

b. A salesperson calls on a client and makes a sale: the amount of the sale is “less than $100,” is “between $100 and $1000,” is “more than $500.”

c. One student is selected at random from the student body: the person selected is “female,” is “male,” is “older than 21.”

d. Two dice are rolled: the numbers of dots showing on the dice are “both odd,” “both even,” “total 7,” “total 11.”

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