Probabilities vary between

Question 1

4 out of 4 points

Probabilities vary between _________.

Question 2

4 out of 4 points

A famous hypnotist performs in Meany Hall before a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one-half of the students and two-thirds of the non-students are hypnotizable. What is the probability that a randomly chosen person from the audience will be hypnotizable or will be a non-student?

Question 3

4 out of 4 points

The probability of correctly guessing a two digit number is _________.

Question 4

4 out of 4 points

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

Question 5

4 out of 4 points

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 rolling “boxcars” (two sixes) with one roll of a pair of fair dice is _________.

Question 6

4 out of 4 points

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.)

Question 7

4 out of 4 points

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 _________.

Question 8

4 out of 4 points

If a stranger gives you a coin and you toss it 1,000,000 times and it lands on heads 600,000 times, what is p(Heads) for that coin?

Question 9

4 out of 4 points

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

Question 10

4 out of 4 points

Assume you are rolling two fair dice once. The probability of obtaining at least one 3 or one 4 equals _________.

Question 11

4 out of 4 points

If p(A) = 0.6 and p(B) = 0.5, then p(B|A) equals _________.

Question 12

4 out of 4 points

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 bottle selected is a Coors beer?

Question 13

4 out of 4 points

A priori probability refers to _________.

Question 14

4 out of 4 points

If p(A and B) = p(A)p(B|A) ¹ p(A)p(B), then A and B are _________.

Question 15

4 out of 4 points

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 beverage you get is a beer?

Question 16

4 out of 4 points

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

Question 17

4 out of 4 points

If events are mutually exclusive they cannot be _________.

Question 18

4 out of 4 points

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

Question 19

4 out of 4 points

If the odds in favor of an event occurring are 9 to 1, the probability of the event occurring is _________.

Question 20

4 out of 4 points

If P + Q = 1.00 then P and Q must be _________.

Question 21

4 out of 4 points

If events A and B are independent, then p(A and B) = _________.

Question 22

4 out of 4 points

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

Question 23

4 out of 4 points

A posteriori probability refers to _________.

Question 24

4 out of 4 points

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

Question 25

0 out of 4 points

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