Probability of Rolling a Par, Odd, or Prime Number

What is the probability of rolling a par number, an odd number, or a prime number on a six-sided dice?

The probability of rolling a par number can be calculated by dividing the number of par numbers (2, 4, or 6) by the total possible outcomes (1-6). Similarly, the probability of rolling an odd number can be calculated by dividing the number of odd numbers (1, 3, or 5) by the total possible outcomes. Lastly, the probability of rolling a prime number can be calculated by dividing the number of prime numbers (2 or 3) by the total possible outcomes. Let's find the answer:

Calculating Probabilities of Event A, B, and C

To find the probability of Event A (rolling a par number), let's first determine the number of par numbers on a six-sided dice, which are 2, 4, and 6. So, there are 3 par numbers out of 6 total possible outcomes.

Probability of A: P(A) = Number of par numbers / Total possible outcomes = 3/6 = 0.5

Next, let's calculate the probability of Event B (rolling an odd number) by identifying the number of odd numbers on a six-sided dice, which are 1, 3, and 5. So, there are 3 odd numbers out of 6 total possible outcomes.

Probability of B: P(B) = Number of odd numbers / Total possible outcomes = 3/6 = 0.5

Lastly, we'll determine the probability of Event C (rolling a prime number) by identifying the prime numbers on a six-sided dice, which are 2 and 3. So, there are 2 prime numbers out of 6 total possible outcomes.

Probability of C: P(C) = Number of prime numbers / Total possible outcomes = 2/6 = 0.33

Therefore, the probabilities of Event A, B, and C are 0.5, 0.5, and 0.33 respectively.