Final answer:
The probability of rolling a multiple of 5 on a twelve-sided die is 1/6, since there are two favorable outcomes (5 and 10) and 12 possible outcomes in total.
Step-by-step explanation:
The question asks about the probability of rolling a multiple of 5 on a twelve-sided die. In a fair twelve-sided die, the sides are numbered from 1 to 12. To find the probability, we need to identify how many multiples of 5 there are in this range. There are two multiples of 5 within this range: 5 and 10.
The probability of an event is defined as the number of favorable outcomes divided by the number of all possible outcomes. In this case, the probabilty calculation is straightforward:
Number of favorable outcomes (multiples of 5): 2 (which are 5 and 10)
Number of possible outcomes (sides on the die): 12
Probability (P) of rolling a multiple of 5: P = Number of favorable outcomes / Number of possible outcomes = 2 / 12 = 1 / 6
Therefore, the probability of rolling a multiple of 5 on a twelve-sided die is 1/6 or approximately 0.1667. It's important to remember that each roll of the die is independent and the probability remains consistent regardless of previous rolls.