You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 3?
A prime number less than 3 does not exist, and the numbers that satisfy the given condition are 2, 3, 5, and 6. So the probability is 4/6 or 2/3 in simplified form.
are you sure
I apologize for the mistake. The correct answer is as follows:
Out of the six possible outcomes from rolling the number cube, the prime numbers are 2 and 3. The numbers greater than 3 are 4, 5, and 6. The numbers 2, 3, 4, 5, and 6 are all distinct, so there are five possible outcomes that satisfy the given condition. Therefore, the probability of rolling a prime number or a number greater than 3 is 5/6.
is that correct
Yes, that is correct.
To find the probability of rolling a prime number or a number greater than 3 on a standard, six-sided number cube, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
First, let's list out the prime numbers less than or equal to 6: 2, 3, 5.
Next, let's list out the numbers greater than 3: 4, 5, 6.
Now, let's find the total number of favorable outcomes by adding up the prime numbers and numbers greater than 3: 2 + 3 + 5 + 4 + 5 + 6 = 25.
Since there are six sides on the number cube, there are six possible outcomes for each roll.
Therefore, the total number of possible outcomes is 6.
Finally, we can calculate the probability by dividing the number of favorable outcomes (25) by the number of possible outcomes (6):
Probability = Favorable Outcomes / Total Outcomes
= 25 / 6
Simplifying the fraction, we get approximately 4.17.
So, the probability of rolling a prime number or a number greater than 3 on a standard, six-sided number cube is approximately 4.17 or 4.17%.
To find the probability of rolling a prime number or a number greater than 3 on a standard, six-sided number cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Counting the favorable outcomes:
- Prime numbers on a standard six-sided number cube are 2, 3, and 5.
- Numbers greater than 3 on a standard six-sided number cube are 4, 5, and 6.
- There are three prime numbers and three numbers greater than 3.
- The total number of favorable outcomes is 3 + 3 = 6.
2. Counting the total number of possible outcomes:
- A standard, six-sided number cube has six faces.
- The total number of possible outcomes is six.
3. Calculating the probability:
- Probability is typically expressed as a fraction or decimal.
- Divide the number of favorable outcomes by the total number of possible outcomes.
- Probability = Favorable outcomes / Total outcomes
- Probability = 6 / 6
- Probability = 1
Therefore, the probability of rolling a prime number or a number greater than 3 on a standard, six-sided number cube is 1 or 100%.