Stats Quiz# 12 Probability

Two events are mutually exclusive if _________.

they both cannot occur together

If an event is certain not to occur, its probability of occurrence equals 0.00.

true

Sampling without replacement is usually used in choosing subjects for an independent groups design experiment.

true

Two events are independent if the occurrence of one has no effect on the probability of occurrence of the other.

true

Let's assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement.What is the probability your first three bottles selected are Pepsi's?

.00024

The probability of correctly calling 4 tosses of an unbiased coin in a row equals _________.

.0625

A "hungry" undergraduate student was looking for a way of making some extra money. The student turned to a life of vice - gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question. The probability of drawing 3 aces in a row without replacement from a deck of 52 ordinary playing cards is _________.

0.00018

Let's assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement.What is the probability the first four bottles you select will be a Coors, a Schlitz, a Rainier, and a Coors in that order?

0.0020

The probability of drawing an ace followed by a king (without replacement) equals _________.

0.0060

If you have 15 red socks (individual, not pairs), 24 green socks, 17 blue socks, and 100 black socks, what is the probability you will reach in the drawer and randomly select a pair of green socks? (Assume sampling without replacement.)

0.0228

Assume you are rolling two fair dice once. The probability of obtaining a sum of 2 or 12 equals _________.

0.0556

Assume you are rolling two fair dice once. The probability of obtaining a sum of 5 equals _________.

0.1111

A "hungry" undergraduate student was looking for a way of making some extra money. The student turned to a life of vice - gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question. The probability of drawing a face card (king, queen or jack) of any suit from a deck of 52 ordinary playing cards in one draw is _________.

0.231

Events that occur only rarely have a probability equal to 0.00.

False

When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00.

True

When events A and B are mutually exclusive but not exhaustive, p(A or B) equals _________.

cannot be determined from information given

If A and B are independent then p(B|A) = p(A) or p(B).

false

Probability values range from -1.00 to +1.00.

false

Two events are considered mutually exclusive if the probability of one event does not influence the probability of a second event.

false

If p(A and B) = 0, then A and B must be _________.

mutually exclusive

If p(A or B) = p(A) + p(B) then A and B must be _________.

mutually exclusive

The Addition Rule states _________.

p(A or B) = p(A) + p(B) - p(A and B)

If events A and B are independent, then p(A and B) = _________. Group of answer choices

p(A)p(B)