How many possible outcomes are there when you roll three distinguishable 6 sided dice?

How many possible outcomes are there when you throw a six-sided dice?

Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.

How many outcomes are there if you roll 3 dice?

When three dice are thrown simultaneously/randomly, thus number of event can be 63 = (6 × 6 × 6) = 216 because each die has 1 to 6 number on its faces. (iii) getting a total of at least 5. (iv) getting a total of 6.

How many different combinations of outcomes can you make by rolling three standard 6 sided dice if the order of the dice does not matter A 24 B 30 C 56 D 120 E 216?

The total number of combinations is the sum of those in each category or 6 + 30 + 20 = 56. This discussion on How many different combinations of outcomes can you make by rolling three standard (6-sided) dice if the order of the dice does not matter?

What is the probability of rolling a 3 on a 6 sided dice?

Two (6-sided) dice roll probability table

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Roll a… Probability
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)

What is the probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or 42.1 %.

How many possible outcomes do you have if you throw a dice?

Solution: We know that in a single thrown of two die, the total number of possible outcomes is (6 × 6) = 36.

What is the sample space of rolling 3 dice?

When three dice are rolled sample space contains 6 × 6 × 6 = 216 events in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.