basic probability

A list of all possible outcomes of an experiment is called the

• sample space

• sample point

• event

• likelihood set

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The intersection of A and B is all

• new customers

• accounts fewer than 31 or more than 60 days past due.

• accounts from new customers and all accounts that are from 31 to 60 days past due.

• new customers whose accounts are between 31 and 60 days past due.

If P(A ∩ B) = 0

• P(A) + P(B) = 1

• either P(A) = 0 or P(B) = 0

• A and B are mutually exclusive events

• A and B are independent events

The complement of P(A | B) is

• P(A^C | B)

• P(A | B^C)

• P(B | A)

• P(A ∩ B)

The probability of at least one head in two flips of a coin is

• 0.25

• 0.33

• 0.50

• 0.75

In a recent survey of computer ownership, 73.4% of the respondents indicated they own PC computers, while 21.8% indicated they own both PC and Mac computers, and 80.1% said they own at least one of the two computers. What is the probability that a respondent owns a Mac computer? Round till 3 decimal places

An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Let

A1 = the event that the customer is female

A2 = the event that the customer is maleWhat is the probability that a customer entering the showroom will buy an automobile?

(Round till 2 decimal places)

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.

Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

• much larger than any other outcome

• much smaller than any other outcome

• the same as any other outcome

• not able to be determined before the die is tossed