1. Given that P(E) = 0, what must be true about the event E? Select the best answer.

• The event E is certain.
• The event E is impossible.
• This is not a valid probability.
• The event E is probable but not certain.
• The event E is possible but not likely.

2. Given that P(E) = 0.9, what must be true about the event E? Select the best answer.""

• The event E is certain.
• This is not a valid probability.
• The event E is possible but not likely.
• The event E is probable but not certain.
• The event E is impossible.

3. Given that P(E) = 0.1, what must be true about the event E? Select the best answer.

• This is not a valid probability.
• The event E is certain.
• The event E is probable but not certain.
• The event E is possible but not likely.
• The event E is impossible.

4. Given that P(E) = 1, what must be true about the event E? Select the best answer.

• The event E is impossible.
• The event E is certain.
• The event E is possible but not likely.
• This is not a valid probability.
• The event E is probable but not certain.

5. I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck are red and 26 are black). Which of the following is the most appropriate sample space S for the possible outcomes?

• S={0, 1, 2}
• S = {red,black}
• S = {(red,red), (red,black), (black,red), (black,black)}
• none of the above

6. Leah is sending out thank you notes for her baby shower. She has three color cards: red (R), blue (B), and yellow (Y). She has two color envelopes: white (W) and tan (T). She selects a card and an envelope at random for each thank you note. Choose the correct sample space for this random experiment.

• S = { RW, RT, RW, RB, BW, BT, BY, YW, YT }
• S = { R, B, Y, W, T }
• S = { RR, BB, YY, WW, TT }
• S = { RW, RT, BW, BT, YW, YT }
• S = { RB, BY, YW, WT }

7. Three coins are flipped. The side facing up for each coin is read: tails (T) or heads (H). Choose the correct sample space for this random experiment.

• S = {TTT, HHH}
• S = {T, H, T}
• S = {HT, TH, HH, TT}
• S = {TTT, TTH, THH, THT, HHH, HHT, HTH, HTT }
• S = {HHH, HTT, HTH, TTT, THT, THH}

8. A group of people were asked if they owned a dog. 321 responded "yes", and 398 responded "no". Find the probability that if a person is chosen at random, they own a dog.

• 321719321719
• 321398321398
• 77321

9. Use the spinner below. Write your answer as a reduced fraction.

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