STATS Lesson 5.4 Probability Rules

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than or equal to 10? Express your answer as a fraction or a decimal number rounded to four decimal places.

1/6 reason: 6 sums that are > or = than 10 36 sums in total 6/36= 1/6

Find the number of outcomes in the complement of the given event. Out of 266 books in a bookcase, 179 are mysteries.

87 Reason: 179 mystery books 266 total books complement= total - mystery 266 - 179= 87

Determine whether the following events are mutually exclusive. Choosing a five or a black card out of a standard deck of cards.

NOT mutually exclusive

Determine whether the following events are mutually exclusive. Choosing a red card or a black card out of a standard deck of cards.

mutually exclusive

Determine whether the following events are mutually exclusive. Choosing a student who is a French major or a chemistry major from a nearby university to participate in a research study. (Assume that each student only has one major.)

mutually exclusive

Determine whether the following value could be a probability. −0.13

no

Describe the complement of the given event. 67% of subscribers to a fitness magazine are over the age of 26

the 33% of subscribers who are NOT over age 26

Determine whether the following value could be a probability. 11/46

yes