Question

What number shows up most often when you roll 10 dice?

Answer 1

the sum of the numbers on the 10 dice, or the numbers in the range 1-6?

Answer 2

I can probably answer this one..... unlike that other continued fraction question you posted :-(

Answer 3

it depends on the dice too that is dice is fair or not

Answer 4

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Answer 5

For each individual die, its 'expected value' is 7/2. This is because it can be either 1, 2, 3, 4, 5 or 6, each with a probability of 1/6 (assuming it's a fair die). If you want to know what value will come up most often for 1 die, this is the sum of each of it's possible values times the probability of that value. Which means 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6) = 1/6(1 + 2 + 3 + 4 + 5 + 6) = 7/2. Obviously, 3.5 will never show up on a die, and this makes sense because if each side has equal probability, you shouldn't expect to see one side more than the others.

To find the expected value of multiple die, you can simply add up each individual expected value. For all 10 dice, this value is 7/2, so you have 7/2 * 10 = 35

Thus, the expected value of rolling 10 dice is 35.

Answer 6

yeah, it's right