Questions

1) What is the probability of picking the winning key?

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2) What is the probability that a player will select a losing key?

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3) The list of 51 playing cards is the __________.

a.) probability

b.) sample space

c.) random sample

d.) event

4) The likelihood that one player will be dealt the old maid card is the __________.

a.) outcome

b.) sample space

c.) random sample

d.) probability

5) A single die is rolled. Which of the following probabilities is NOT true?

a.) The P(4) = 1/6

b.) The P(A number greater than 4) = 2/6 = 1/3

c.) The P(A number greater than 6) = 0/7 = 0

d.) The P(An even number) = 4/6 = 2/3

e.) The P(A number less than 7) = 6/6 = 1

6) The table below shows the number of fish caught each day of the week by Jimmy’s father. Jimmy knew that his father had caught some fish that week, but not which days he had been successful. If Jimmy’s father asks him to guess which day of the week he had caught some fish, what is the probably that Jimmy will choose a correct day?

a.) 3/7

b.) 1/2

c.) 4/7

d.) 2/1

e.) 4/5

7) If a marble is picked from the bag described below without looking, the selected marble is most likely to be what color?

a.) Red

b.) Blue

c.) Green

d.) Yellow

8) Jade and Matilda are playing double-six dominoes. There are 28 playing tiles. Seven of the tiles are called doubles. All of the tiles are placed face down and shuffled. Jade picks six (6) tiles, one of which is a double. It is then Matilda’s turn to pick her tiles. What is the probability that Matilda will pick a double on her first pick?

a.) 5/28

b.) 5/22

c.) 6/28 or 3/14

d.) 6/22 or 3/11

9) P(6 AND Green)

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10) P(Even AND Yellow)

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11) P(Odd AND Green)

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12) P(Less than 5 AND Red)

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13) P(Two yellow gumballs) (Note: Think of this problem as first drawing a yellow gumball. Next, do NOT put the yellow gumball back into the machine. Then, on the second draw there will be one less yellow gumball; thus, the second event is dependent on the first event.

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14) P(A white gumball, AND then a green gumball)

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15) P(An orange gumball, AND then a red gumball)

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16) P(Two gumballs that are NOT blue)

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17) What type of event occurs when the outcome of one event does not affect the other event?

a.) Independent event

b.) Dependent event

18) What type of event occurs when the outcome of one event affects the outcome of another event?

a.) Independent event

b.) Dependent event

19) What kind of probability event occurs when two blue M&M’s are chosen from a bag, and the first one is not put back into the bag before the second one is chosen?

a.) Independent event

b.) Dependent event

20) Rolling three dice is an example of what kind of probability event?

a.) Independent event

b.) Dependent event

21) What is the probability of drawing a “seven (7)” OR a “nine (9)”?

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22) What is the probability of drawing a “face card” OR an “Ace”?

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23) What is the probability of drawing a “heart” OR a “black card”?

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24) What is the probability of drawing a “jack” OR a “card under 10” (aces NOT included)?

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25) What is the probability of drawing a red card OR an Ace? Express the answer as a fraction in simplified form or as a percent rounded to the nearest whole percent.(The steps below will help to solve this problem.)

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26) In a mutually inclusive problem, the overlap of the two outcomes must be subtracted. What cards would be found in both of the events; that is, what cards would be found in both the P(Red) and the P(Ace)?

a.) All the red cards

b.) All the Aces

c.) The black Aces

d.) The red Aces

27) P[A black card OR a card less than 10 (aces NOT included)]

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28) P(Hearts OR a Seven)

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29) P(A black card OR a King)

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30) P(2 or 4)

a.) Mutually exclusive event

b.) Inclusive event

31) P(Purple or Even)

a.) Mutually exclusive event

b.) Inclusive event

32) A digit is selected randomly from the first 80 digits of “Pi” (after the decimal point). What is the probability it is a three (3) or a seven (7)? (Hint: Consider, is there an overlap between the two events?)

a.) 15/80 or 3/16

b.) 9/80

c.) 6/80 or 3/40

d.) 20/80 or 1/4

33) A digit is selected randomly from the first 80 digits of “Pi” (after the decimal point). What is the probability it is in Set B OR is a five (5)? (Hint: Consider, is there an overlap between the two events?)

a.) 20/80 or 1/4

b.) 26/80 or 13/40

c.) 7/80

d.) 1/80

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