When four dice are rolled simultaneously in how many outcomes?

How many possibilities are there when you roll 4 six sided dice?

Two (6-sided) dice roll probability table

Roll a… Probability
4 3/36 (8.333%)
5 4/36 (11.111%)
6 5/36 (13.889%)
7 6/36 (16.667%)

How many different possible outcomes are there if you roll four six sided dice?

We can view the outcomes as two separate outcomes, that is, the outcome of rolling die number one and the outcome of rolling die number two. For each of 6 outcomes for the first die the second die may have any of 6 outcomes, so the total is 6+6+6+6+6+6=36, or more compactly, 6⋅6=36.

How many possible outcomes are there when 4 dice are rolled in which at least one dice shows 2?

R D Sharma – Mathematics 9

Total Possible outcomes when 4 dice are rolled = 6^4. Total Possible outcomes where none of the dice shows 2 = 5^4. = 671. Hope this helps!

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