Question

Roku rolls 5 fair, 6-sided dice all at once. What is the probability that he rolls all 1s?

a) 1/6⁵
b) 1/6⁶
c) (1/6)⁵
d) 1 - (5/6)⁵

Answer 1

To find the probability of rolling all 1s on 5 fair, 6-sided dice, multiply the probability of rolling a 1 on each die together. The probability is 1/6^5.

Step-by-step explanation:

To find the probability of rolling all 1s on 5 fair, 6-sided dice, we need to find the probability of rolling a 1 on each individual die and then multiply them together. Since each die has 6 equally likely outcomes (numbers 1-6), the probability of rolling a 1 on a single die is 1/6. So, the probability of rolling all 1s on 5 dice is (1/6) * (1/6) * (1/6) * (1/6) * (1/6), which simplifies to 1/6^5. Therefore, the answer is option a) 1/6^5.