A standard number cube is rolled 180 times. Predict how many times a 3 or 5 will be the result.
A. 31 times
B. 60 times
C. 57 times**
D. 30 times
Jamestown Builders has a development of new homes. There are 6 different floor plans, 7 exterior colors, and an option of either one-car or two car garage. How many choices are there for one home?
A. 84**
B. 126
C. 15
D. 42
1-c
2-a
3-c
4-b
5-b
6-c
7-a
8-d
9-d
10-d
1st Question: try again
2nd question: correct
I think it is D or B, probably B
B is correct.
Probability of rolling a 3 or a 5 is 2/6 = 1/3
(1/3)(180) = 60
Junior is right!!!
To predict how many times a 3 or 5 will be the result when rolling a standard number cube 180 times, you need to determine the probability of rolling a 3 or 5 on each roll and multiply it by the total number of rolls.
1. Calculate the probability of rolling a 3 or 5:
- The number cube has 6 faces, so the probability of rolling a 3 or 5 on one roll is 2/6 = 1/3.
2. Multiply the probability by the total number of rolls:
- 1/3 x 180 = 60.
Therefore, the correct answer is B. 60 times.
For the second question about the choices for one home in Jamestown Builders' development, you need to multiply the number of options for each category.
1. Multiply the number of floor plans by the number of exterior colors:
- 6 floor plans x 7 exterior colors = 42.
2. Multiply the result by the number of options for the garage:
- 42 x 2 (one-car or two-car garage) = 84.
Therefore, the correct answer is A. 84 choices for one home.