You roll a 6-sided die two times.What is the probability of rolling a prime number and then rolling a factor of 8?Write your answer as a decimal.
Question
You roll a 6-sided die two times.What is the probability of rolling a prime number and then rolling a factor of 8?Write your answer as a decimal.
Solution
First, let's identify the prime numbers and factors of 8 on a 6-sided die.
The prime numbers on a 6-sided die are 2, 3, and 5. So, there are 3 favorable outcomes for rolling a prime number.
The factors of 8 on a 6-sided die are 1, 2, and 4. So, there are 3 favorable outcomes for rolling a factor of 8.
The total number of outcomes when rolling a 6-sided die is 6.
The probability of each event happening is calculated by dividing the number of favorable outcomes by the total number of outcomes.
So, the probability of rolling a prime number is 3/6 = 0.5.
The probability of rolling a factor of 8 is also 3/6 = 0.5.
Since these are independent events, we multiply the probabilities together to find the overall probability.
So, the probability of rolling a prime number and then rolling a factor of 8 is 0.5 * 0.5 = 0.25.
Similar Questions
An eight-sided die is rolled at the same time a coin is flipped. What is the probability of rolling a 5 and flipping a head?
A fair die is rolled twice. The number that shows up after each roll is noted. Find the probability that the sum of the two numbers is a prime number or the product of the two numbers is a prime number.
Two dices are tossed. The probability that the total score is a prime number is
You pick a card at random, put it back, and then pick another card at random.456What is the probability of picking a number less than 6 and then picking a factor of 8?Write your answer as a decimal rounded to the nearest thousandth.
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events.Event A: The sum is greater than 8.Event B: The sum is divisible by 4 or 6 (or both).Write your answers as fractions.(a) PA = (b) PB =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.