Chapter 10 Quiz Alg 2 MCR

Find the number of possible outcomes in the sample space and then list the possible outcomes. You roll a die and draw a card at random from a bag containing three hearts and one spade.

• A) 24 outcomes: (1, Heart), (1, Spade), (2, Heart), (2, Spade), (3, Heart), (3, Spade), (4, Heart), (4, Spade), (5, Heart), (5, Spade), (6, Heart), (6, Spade)

• B) 8 outcomes: (1, Heart), (1, Spade), (2, Heart), (2, Spade), (3, Heart), (3, Spade), (4, Heart), (4, Spade)

• C) 12 outcomes: (1, Heart), (1, Spade), (2, Heart), (2, Spade), (3, Heart), (3, Spade), (4, Heart), (4, Spade), (5, Heart), (5, Spade), (6, Heart), (6, Spade)

• D) 18 outcomes: (1, Heart), (1, Spade), (2, Heart), (2, Spade), (3, Heart), (3, Spade), (4, Heart), (4, Spade), (5, Heart), (5, Spade), (6, Heart), (6, Spade), (1, Heart), (2, Heart), (3, Heart), (4, Heart), (5, Heart), (6, Heart)

Find the number of possible outcomes in the sample space and then list the possible outcomes. You draw three marbles without replacement from a bag containing two pink marbles and five yellow marbles.

• 10 outcomes: PPP, PPY, PYP, PYY, YPP, YPY, YYP, YYY, PYY, YYP

• 35 outcomes: PPP, PPY, PYP, PYY, YPP, YPY, YYP, YYY, PYY, YYP

• 21 outcomes: PPP, PPY, PYP, PYY, YPP, YPY, YYP, YYY, PYY, YYP

• 15 outcomes: PPP, PPY, PYP, PYY, YPP, YPY, YYP, YYY, PYY, YYP

When two six-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 4.

• 1/12

• 1/9

• 1/6

• 1/8

When two six-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is not 4.

• 1/9

• 1/6

• 5/6

• 2/3

When two six-sided dice are rolled, there are 36 possible outcomes. What is the probability that the sum is less than or equal to 4?

• 1/12

• 1/9

• 1/6

• 1/3

If there are exactly four possible outcomes and all outcomes are equally likely, then the theoretical probability of any of the five outcomes occurring is 0.25. This statement is:

• Always true

• Sometimes true

• Never true

Tell whether the statement is always, sometimes, or never true. The experimental probability of an event occurring is equal to the theoretical probability of an event occurring.

• Always true

• Sometimes true

• Never true

The probability of an event added to the probability of the complement of the event is equal to 1.

• Always true

• Sometimes true

• Never true

A manufacturer tests 350 computers and finds that 24 of them are defective. Find the probability that a computer chosen at random has a defect. An office orders 40 of the computers. Predict the number of computers in the office with defects.

• 2.74

• 2.64

• 2.84

• 2.94

Tell whether the events are independent or dependent. a. You and your friend are picking teams for a baseball game. You randomly choose a player. Then your friend randomly chooses a player. Event A: You choose a pitcher. Event B: Your friend chooses a first baseman.

• Independent

• Dependent