Properties and Notation for Probability

A is the event that you roll a die and get a 5 or 6.

• The complement of A is the event that you roll a die and get a 1, 2, 3, or 4.

• The complement of A is the event that you roll a die and get a 2, 3, or 4.

• The complement of A is the event that you roll a die and get a 1, 2, 3, 4, or 5.

What is wrong with the following statement? "I have a probability of 12 or passing this class"

• Probability is a number between 0 and 1. 12 is too big.

• You can't know your probability of passing ahead of time.

• Probability has to be more than 100.

P(It snows in Royal Oak on August 5)

• The probability is 0.00001

• The probability is 0.25.

• The probability is 0.5.

• The probability is 1.

P(A coin flip comes up heads)

• The probability is 0.

• The probability is 0.25.

• The probability is 0.5.

• The probability is 1.

What is wrong with the statement? "There is no way you can pass this class...I give you a probability of -.3"

• You can't have negative probability.

• A probability of -.3 means that you still have some chance of passing.

• You can't say the probability of something before it happens.

Describe the complement of each event. A = roll a die and get an even number.

• The complement of A is the event that you roll a die and get an odd number.

• The complement of A is the event that you roll a die and get an even number.

• The complement of A is the event that you roll a die and get a number less than 6.

• The complement of A is the event that you roll a die and get a number greater than 6.

If the probability of winning a game is .6, what is the probability of losing (assume no ties)?

• .4

• You can't tell

• .6

• 0

What is wrong with this statement?

"I have a trick coin where the probability of heads is .8 and the probability of tails is .3"

• The probabilities of all the possible outcomes has to add to 1, and these add to 1.1

• A coin has to be 50-50

• The probabilities have to be the same

• .35

• 3.5

• .6

• 1.6666

What is the probability of rolling a regular die and getting a number smaller than 10?

• 0

• 1

• .5

• .10