Table of Contents
- 1 How many possible outcomes are there if you roll 3 dice?
- 2 How many ways can 3 dice of different colors be thrown at the same time?
- 3 How many outcomes are there in a dice?
- 4 What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously?
- 5 How many outcomes would there be in the sample space for rolling 4 dice and flipping 5 coins?
- 6 How many outcomes are there with 2 dice?
- 7 What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously ie 1 1 1 2 22 answer in fraction or in decimal form?
- 8 What are the possible outcomes when three dice are thrown together?
- 9 What is the probability of Rolling 3 dice?
- 10 How do you find the sum of three dice?
How many possible outcomes are there if you roll 3 dice?
216 outcomes
Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice.
How many ways can 3 dice of different colors be thrown at the same time?
216 possible
We can list all possible outcomes for the three dice and add a fourth column that contains a 0 if the event is not in A and contains a 1 if the event is in A. By simple counting, we find that there are 15 outcomes in event A, out of the total of 216 possible outcomes.
How many outcomes would there be in the sample space for rolling 3 dice and flipping 2 coins?
Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes. Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes….
| First coin | Second coin | outcome |
|---|---|---|
| T | T | TT |
How many outcomes are there in a dice?
36
Note that there are 36 possibilities for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.
What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously?
So, assuming the dice are ‘fair’ (that each of the six numbers has a probability of 1/6 of showing up on each of the dice), there is a probability of 1/36 that all three dice will show the same number.
How many possible outcomes are there?
The total number of possible outcomes are 6, 3 ∙ 2 = 6. This principle is called the fundamental counting principle and the rule is as follows. If event x (in this case the chicken, the beef and the vegetables) can occur in x ways. And event y (in this case French fries or mashed potatoes) can occur in y ways.
How many outcomes would there be in the sample space for rolling 4 dice and flipping 5 coins?
If we assume that each individual coin is equally likely to come up heads or tails, then each of the above 16 outcomes to 4 flips is equally likely. Each occurs a fraction one out of 16 times, or each has a probability of 1/16.
How many outcomes are there with 2 dice?
When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six). 6 x 6 = 36.
Which of the following result is possible on throwing a dice?
If a die is thrown once, there are two possible outcomes- an odd number or an even number.
What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously ie 1 1 1 2 22 answer in fraction or in decimal form?
There are 6 outcomes with all the numbers the same: 1-1-1, 2-2-2., 5-5-5, 6-6-6. So the probability of all the numbers being the same is 6/63.
What are the possible outcomes when three dice are thrown together?
Adding the numbers for each die, the lowest possible total is 3 (=1+1+1), whereas the highest possible total is 18 (=6+6+6). So, the possible totals are the integers in the range [3,18]. That’s 16 different outcomes. Originally Answered: What are all the possible outcomes when three dice are thrown together?
How many different rolls can you make with two dice?
There are a total of 36 different rolls with two dice, with any sum from 2 to 12 possible. 1 How does the problem change if we add more dice? Possible Outcomes and Sums Just as one die has six outcomes and two dice have 6 2 = 36 outcomes, the probability experiment of rolling three dice has 6 3 = 216 outcomes.
What is the probability of Rolling 3 dice?
Just as one die has six outcomes and two dice have 6 2 = 36 outcomes, the probability experiment of rolling three dice has 6 3 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6 n outcomes.
How do you find the sum of three dice?
As discussed above, for three dice the possible sums include every number from three to 18. The probabilities can be calculated by using counting strategies and recognizing that we are looking for ways to partition a number into exactly three whole numbers. For example, the only way to obtain a sum of three is 3 = 1 + 1 + 1.