You roll a standard, six sided number cube. what is the probability of rolling a prime number or a number greater than 2.
Prime numbers are: 2, 3, and 5.
Numbers that are greater than 2 are: 2, 3, 4, 5, and 6.
Meaning the only number you could get that wouldn't fit the criteria would be 1.
The answer is 5/6
What about if the number is greater than 4?
If you are looking for the probability of rolling a number greater than 4 on a standard six-sided number cube, there are only two possible outcomes: rolling a 5 or a 6. Both outcomes are favorable, so the probability of rolling a number greater than 4 is 2/6 or 1/3.
What is the probability of rolling a prime number or a number greater than 4
The prime numbers that can be rolled on a standard six-sided number cube are 2, 3, and 5. The numbers that are greater than 4 are 5 and 6. The number 5 appears in both sets, so it only needs to be counted once.
Therefore, the possible outcomes that fit the criteria are 2, 3, 5, and 6. Out of a total of 6 possible outcomes, there are four outcomes that meet the criteria: 2, 3, 5, or 6.
So, the probability of rolling a prime number or a number greater than 4 is 4/6 or 2/3.
To find the probability of rolling a prime number or a number greater than 2 on a standard six-sided number cube, we first need to determine the favorable outcomes and the total possible outcomes.
Favorable outcomes:
- Prime numbers: 2, 3, 5 (there are three prime numbers on a standard six-sided number cube).
- Numbers greater than 2: 3, 4, 5, 6 (there are four numbers greater than 2 on a standard six-sided number cube).
Total possible outcomes:
Since a standard number cube has six sides, there are six possible outcomes.
So, the probability can be calculated by dividing the number of favorable outcomes by the number of total possible outcomes.
Number of favorable outcomes: 3 + 4 = 7
Number of total possible outcomes: 6
Therefore, the probability of rolling a prime number or a number greater than 2 is 7/6.
However, it's important to note that this probability is greater than 1, which is not possible. So, the actual probability will be limited to 1.
What is the probability of rolling a 5 on a sided number cube
the answer is 2/3. Basically it's saying what is the probability of rolling a number greater than 2. Well, there are 4 possibilities out of 6. Therefore you have a 4/6 chance or 2/3
1, 2, 3, 4, 5, 6
p greater than 2 = 4/6 = 2/3
p 2 or smaller and prime = 2/6 = 1/3
2/3 + 1/3 = 1
every single side of the cube is either greater than 2 or prime (two and one) so you simply will get the desired result in 100% of your rolls :)