Q. You roll a 6-sided die. What is P(5)? Simplify your answer and write it as a fraction or whole number. ______
Understand Question: To solve the problem, we first need to understand what is being asked. The question prompt is: "What is the probability of rolling a 5 on a 6-sided die?" This is a basic probability question where we are looking for the likelihood of a single outcome occurring.
Total Possible Outcomes: The total number of possible outcomes when rolling a 6-sided die is 6, because there are 6 faces on the die, each with a different number from 1 to 6. This is a fundamental principle in probability when dealing with fair dice.
Favorable Outcomes: The number of favorable outcomes for rolling a 5 is 1, since there is only one face out of the 6 that has the number 5 on it. This is how we determine favorable outcomes in probability - by counting how many outcomes match the event we are interested in.
Calculate Probability: To find the probability of rolling a 5, we use the formula for probability: P(Event)=Total number of possible outcomesNumber of favorable outcomes. Substituting the values we have: P(5)=61. This calculation is straightforward and involves basic division.