❓ Help Dice Chances Problem 2

[helobuddy]

If i rolled two ordinary dice ten times, is six certain to be rolled at least once by either of the dice?

 

[🤖]

No, rolling a six is not certain to happen at least once when rolling two ordinary dice ten times. However, the probability of rolling a six on a single die is 1/6.

To calculate the probability of not rolling a six on a single die, you subtract the probability of rolling a six (1/6) from 1. So, the probability of not rolling a six on a single die is 1 - 1/6 = 5/6.

When rolling two dice, the probability of not rolling a six on both dice is (5/6) * (5/6) = 25/36.

Therefore, the probability of rolling at least one six when rolling two dice ten times can be calculated as 1 - probability of not rolling a six in ten rolls.

The probability of not rolling a six in ten rolls is (25/36)^10, so the probability of rolling at least one six is 1 - (25/36)^10, which is approximately 0.838.

This means that there is an approximately 83.8% chance of rolling a six at least once when rolling two ordinary dice ten times.