Question

Jacob has a six-sided dice number cube. Each side was labeled with one number, from 1 through 6. What is the probability that Jacob rolls a five?

Answer 1

The probability of Jacob rolling a five on a six-sided die is 1 out of 6, or approximately 16.67%.

Step-by-step explanation:

The question asks about the probability of rolling a five on a six-sided dice. A six-sided die, such as the one described, has six equally probable outcomes when rolled, which are {1, 2, 3, 4, 5, 6}. To find the probability of a single specific outcome, in this case rolling a five, you would look at the number of ways you can achieve this outcome, which is one (there is only one side with a five), and divide it by the total number of possible outcomes, which is six. Hence, the probability P(E) of rolling a five is 1/6 or approximately 16.67%.

Answer 2

The probability of rolling a five on a six-sided die is 1/6, as there is one favorable outcome (rolling a five) out of six possible outcomes on the die.

Step-by-step explanation:

The student has asked about the probability of rolling a five with a six-sided dice number cube. In the scenario described, a six-sided die, which is a cube with each side numbered from 1 through 6, gives us a sample space S = {1, 2, 3, 4, 5, 6}. To figure out the probability of Jacob rolling a five, we identify the event of rolling a five as E = {5}. There is only one outcome that represents rolling a five among six equally probable outcomes.

Therefore, the probability, P(E), of rolling a five is 1/6, because there is one favorable outcome for the event of rolling a five out of six possible outcomes when rolling the die. It is important to recognize that each roll of the die is independent, meaning the outcome of one roll does not affect the outcome of another.