A six sided number cube is rolled 30 times and lands

Answer 1

1. What is the probability of rolling a 3 on the number cube?

There are 6 possible outcomes when rolling a number cube, and only 1 of them is a 3. Therefore, the probability of rolling a 3 is 1/6 or approximately 0.167.

2. If the number cube lands on an even number, what is the probability that it is a 4 or 6?

There are 3 even numbers on a number cube (2, 4, and 6), and 2 of them are 4 or 6. Therefore, the probability of landing on a 4 or 6 given that the number is even is 2/3 or approximately 0.667.

3. What is the expected value of the sum of the numbers rolled on the number cube?

The expected value of the sum of the numbers rolled on a number cube can be calculated by finding the average value of each roll. Since each side has an equal probability of being rolled, the average value is (1+2+3+4+5+6)/6 = 3.5. Therefore, the expected value of the sum of the numbers rolled on the number cube is 3.5 * 30 = 105.