Question

In the game of Yahtzee, five dice are rolled at once. A Yahtzee

is scored when all five dice are the same number. What is the
probability of rolling a Yahtzee on the first roll?

Answer 1

The probability of rolling a Yahtzee on the first roll is 1/1296 or approximately 0.08%, which is calculated by multiplying the probabilities of each die matching the first one (1/6) four times.

Step-by-step explanation:

The probability of rolling a Yahtzee on the first roll can be determined as follows. When you roll five dice, the first die can land on any of the six faces, so it does not affect the probability. The second die must match the first die, and since there is only one out of six chances of that happening, the probability is 1/6. The same logic applies for each of the next three dice. So, we multiply the probabilities together: 1 x (1/6) x (1/6) x (1/6) x (1/6) = (1/6)^4.

Therefore, the probability of rolling a Yahtzee on the first roll is 1/1296, or approximately 0.08%.