Using a 16-sided number cube what is the probability that you will roll an odd number or an even prime number? Round to three decimals.
There are eight odd numbers and eight even numbers on a 16-sided number cube. The even prime numbers on the cube are 2 and 3. Therefore, there are ten numbers that are either odd or an even prime.
The probability of rolling one of these numbers is:
P(odd or even prime) = P(odd) + P(even prime) - P(odd and even prime)
P(odd) = 8/16 = 1/2
P(even prime) = 2/16 = 1/8
P(odd and even prime) = 0 (there are no numbers that are both odd and even prime)
Therefore,
P(odd or even prime) = 1/2 + 1/8 - 0
P(odd or even prime) = 5/8
P(odd or even prime) ≈ 0.625
Rounded to three decimals, the probability of rolling an odd number or an even prime number on a 16-sided number cube is approximately 0.625.
To find the probability of rolling an odd number or an even prime number on a 16-sided number cube, we first need to determine the total number of favorable outcomes and the total number of possible outcomes.
The total number of outcomes on a 16-sided number cube is 16, as there are 16 possible numbers that can be rolled.
Next, we need to find the number of favorable outcomes, which includes odd numbers and even prime numbers.
Odd numbers: In a 16-sided cube, the odd numbers are 1, 3, 5, 7, 9, 11, 13, and 15. So there are 8 odd numbers.
Even prime numbers: There is only one even prime number, which is 2.
Therefore, the total number of favorable outcomes is 8 + 1 = 9.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Favorable Outcomes / Total Outcomes = 9 / 16
Rounded to three decimals, the probability is 0.563.