Question

Imagine you roll a fair 10-sided die 5 times. Here are your results: 2,8,9,10,5. a. What is the theoretical probability of rolling a number less than or equal to 3 ?

Answer 1

The theoretical probability of rolling a number less than or equal to 3 on a fair 10-sided die is 3 out of 10, or 0.3.

Step-by-step explanation:

The theoretical probability of rolling a number less than or equal to 3 on a fair 10-sided die is calculated by considering the number of successful outcomes over the total number of possible outcomes. In this case, the successful outcomes for rolling a number less than or equal to 3 are 1, 2, and 3. Since there are 10 possible outcomes on a 10-sided die (each number 1 through 10 being a possible outcome), the probability is:

• Number of outcomes less than or equal to 3: 3 (which are 1, 2, and 3)
• Total number of outcomes: 10

So the probability, P, is:

P(rolling a number ≤ 3) = number of successful outcomes / total number of possible outcomes = 3 / 10 = 0.3