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There are 3 odd (1,3,5) and 3 even (2,4,6) sides on a 6-sided die.

When rolling a 6-sided die, each face has an equal chance of coming up (assuming a perfect die).

Because of this, the chance of rolling an odd number once is 50%.

The second roll you again have a 50% chance to roll an odd number, which means that the chance to roll two in a roll is (50% * 50%) 25%.

1/2*1/2 = 1/4 =

25%

In other words, the chance of rolling an odd number is 1/2 to the Nth power, where N is the number of rolls.

Rolling a dice 10 times means a chance of (1/2)n10 or

1/2 *1/2 *1/2 *1/2 *1/2 *1/2 *1/2 *1/2 *1/2 *1/2 =

1/1024 =

0,097%

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