Ch.3, 4, 5 Review AU

Determine the sample space of flipping a coin 3 times

• HHH, TTT

• HHH, HTH, THT, TTT

• HHH, HHT, HTH, THH, TTT

• HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

Allstate has 6 different commercial pitches. State Farm has 8 different commercial ideas. If they each need to select one commercial from each company to use for the Super Bowl, how many ways can this occur?

• 48

• 14

• 28

• 96

Suppose that of 50 students, 18 sing in the school choir, 29 play in the school band, and 14 both sing in the choir and play in the band. What is the probability that a student selected at random sings in the school choir or plays in the school band?

• 0.66

• 0.94

• 0.62

• 1.22

A letter is selected at random from the world MATHEMATICS. Find the probability of selecting a vowel.

• 0.4

• 0.455

• 0.5

• 0.364

Suppose a card is drawn at random from a standard deck of cards. What is the probability of drawing a red card or an ace?

• 0.288

• 0.326

• 0.538

• 0.577

A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

• 1.1111

• 0.6667

• 17

• 0.3333

During his NBA career, Larry Bird made approximately 89% of all free throws. Assuming each free throw is independent, what is the probability he will not make his next free throw?

• 0.11

• 0.50

• 0.01

• 0.89

Which of the following events are mutually exclusive when choosing one card from a standard deck of cards?

• Choosing an Ace or a Spade.

• Choosing a red card or an 8.

• Choosing a face card or a 7.

• Choosing a face card or a queen.

Determine if the following situation is independent or dependent: Picking a red card followed by a red card in a standard deck without replacement

• Independent

• Dependent

Given P(A) = 1/3, P(B) = 1/2, and P(B | A) = 1/2 .  Determine whether the events are dependent or independent.  Show work mathematically to justify your answer.