Math Questions!


07.02 LC)

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 7?

4 over 36

5 over 36

6 over 36

8 over 36





(07.01 MC)

The number of chips of different colors in Gail's bag is shown below:
•3 blue chips
•4 pink chips
•8 white chips

Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?

8 over 15 multiplied by 7 over 14 is equal to 56 over 210

8 over 15 plus 7 over 14 is equal to 217 over 210

8 over 15 plus 8 over 15 is equal to 16 over 15

8 over 15 multiplied by 8 over 15 is equal to 64 over 225





Sue used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:



Number on cube vs Number of times rolled

1 18
2 25
3 12
4 32
5 3
6 10


Heads = 56

Tails = 44




Using Sue's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up?

81 over 100

56 over 100

1400 over 10000

1100 over 10000