There are six possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6.
First, we need to find the probability of rolling an even number on the first roll. There are three even numbers: 2, 4, and 6. So the probability of rolling an even number on the first roll is 3/6, which can be simplified to 1/2.
Next, we need to find the probability of rolling a number that is not 2 on the second roll, given that the first roll was an even number. This means there are only two possible outcomes for the first roll: 2 or 4. If the first roll was a 2, then the only possible option for the second roll to satisfy the condition of "not 2" is 4. If the first roll was a 4, then there are four possible options for the second roll that satisfy the condition of "not 2": 1, 3, 4, or 5.
Therefore, the probability of rolling an even number on the first roll and then rolling a number that is not 2 on the second roll is:
(1/2) x [(1/6) + (4/6)] = (1/2) x (5/6) = 5/12
So, P(even, then not 2) = 5/12.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
5 answers
in one sentance answer the questions, You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
The probability of rolling an even number on the first roll and then rolling a number that is not 2 on the second roll is 5/12.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 on a number cube is 1/6. This is because there is one face with a 3 out of six total faces.
b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 came up by the total number of rolls:
Experimental probability = (number of times 3 came up) / (total number of rolls)
Experimental probability = 67/450
This fraction cannot be simplified anymore, so the experimental probability of rolling a 3 is 67/450.
b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 came up by the total number of rolls:
Experimental probability = (number of times 3 came up) / (total number of rolls)
Experimental probability = 67/450
This fraction cannot be simplified anymore, so the experimental probability of rolling a 3 is 67/450.