3 Dice Roll?

Question

How to calculate probability of getting all evens or odds on "n" number of times roll of these 3 dices?

Is there a probability for this or is each roll unique i.e does the chances decrease if i want to get all "evens" (4,6,8,10,12,14,16 or 18) if I rolled 3 dices 10 vs 20 vs 40 times?

Answer 1

probability will increace

Answer 2

Probability of all evens (or all odds) with x dice:

1 dice = 1/2

2 dice = 1/2 x 1/2 (which is 1/4)

3 dice = 1/2 x 1/2 x 1/2 (which is 1/8)

4 dice = 1/2 x 1/2 x 1/2 x 1/2 (whic is 1/16)

etc., etc.

So yes, the more dice you throw, the harder it is to get all evens (or all odds).