Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time What is the probability that all three number cubes will land on an odd number?
A. 1/2
B. 1/6
C. 1/3
D. 1/8
1/2 * 1/2 * 1/2 = 1/8
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
To find the probability that all three number cubes will land on an odd number, we need to determine the total number of possible outcomes and the number of desired outcomes.
Each number cube has 6 faces numbered from 1 to 6. So, the total number of possible outcomes for each cube is 6.
Since Regina will roll each number cube one time, the total number of possible outcomes for all three cubes is obtained by multiplying the number of possible outcomes for each cube. Therefore, the total number of possible outcomes is 6 x 6 x 6 = 216.
For all three number cubes to land on an odd number, each cube should land on one of the three odd numbers: 1, 3, or 5. Therefore, the number of desired outcomes is 3 x 3 x 3 = 27.
The probability is the number of desired outcomes divided by the total number of possible outcomes. So, the probability is 27/216.
Simplifying this fraction by dividing both the numerator and denominator by 27, we get 1/8.
Therefore, the correct answer is D. 1/8.