You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 2?
A. five-sixth
B. two-thirds
C. one-sixth
D. one-half
The prime numbers on a standard, six-sided number cube are 2, 3, and 5. The numbers greater than 2 are 3, 4, 5, and 6. Therefore, the total favorable outcomes are 4 (3 prime numbers and 1 number greater than 2 that is not prime). The total possible outcomes are 6. Therefore, the probability is 4/6 or 2/3.
Answer: B. two-thirds
To find the probability of rolling a prime number or a number greater than 2 on a standard six-sided number cube, first, let's determine the favorable outcomes and the total outcomes.
Favorable outcomes:
1, 2, 3, 5, 6
Total outcomes:
1, 2, 3, 4, 5, 6
There are 5 favorable outcomes out of 6 total outcomes.
Therefore, the probability of rolling a prime number or a number greater than 2 is 5/6, which corresponds to option A.