Intro to Probabilities

• 0.16

• 0.25

• 0.50

• 0.75

Are the events "Landing on Green" and "Landing on Right Foot" mutually exclusive? Explain.

• No; there are outcomes of the events in common

• No; the probability of this to occur is 0

• Yes; there are outcomes of the events in common

• Yes; the probability of this to occur is 0

List the sample space and determine if the events are equally likely. Toss 2 coins; record the order of heads and tails.

A sports analyst is studying the number of goals scored during the first half of a particular soccer tournament. Is the probability distribution shown to the right valid? Explain.

• No; the individual probabilities do not sum to 1

• No; there is at least 1 probability below 1, which creates an invalid distribution

• Yes; all probabilities add to 1, and each individual probability is between 0 and 1

• Yes; there are no more than 5 probabilities expressed in the distribution, following the Law of Large Numbers

List the sample space and determine if the events are equally likely.

If two events are mutually exclusive, the probability that they both occur is

• 1

• 0

• 0.5

• impossible to determine

An assignment of probability must obey which of the following?

• The probability of any event must be a number between 0 and 1, inclusive.

• The sum of all the probabilities of all outcomes in the sample space must be exactly 1.

• The probability of an event is the sum of the outcomes in the sample space which make up the event.

• All of these reasons

• 0.1; The probability that the student takes both chemistry and Spanish.

• 0.1; The probability that the student takes either chemistry or Spanish, but not both.

• 0.5; The probability that the student takes either chemistry or Spanish, but not both.

• 0.6; The probability that the student takes either chemistry or Spanish, or both.

• 0.6; The probability that the student takes both chemistry and Spanish.

What is the joint probability of randomly selecting a surveyed freshman who exercises regularly and eats 5 servings of fruits and vegetables each day? Round your answer to the nearest whole percent.

The Law of Large Numbers says

• observed probability will approach theoretical probability

• outcomes from repeated chance events multiply

• chance events even out in the long run

• probability will grow without bound