How many ways can we get a sum of 4 or of 8 when two distinguishable dice are rolled?

How many ways can you get a sum of 8 on two dice?

So, in 5 ways we can roll a 8 with two dice.

What is the probability of getting a sum of 8 when two dice are rolled?

The chance of rolling an 8 with 2 dice is 5/36.

How many ways can you roll a sum of 4 with 2 dice?

When we roll two dice, the possibility of getting number 4 is (1, 3), (2, 2), and (3, 1). So, The number of favorable outcomes = 3. Total number of possibilities = 36.

What is the probability of getting a sum of 4 when two dice are rolled?

Now we can see that the sum 4 will be rolled with probability 3/36 = 1/12, and the sum 5 with probability 4/36 = 1/9. Below you can check our random “roll of dice” generator. It will count for you the total number of rolls and the total for each sum.

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What is the probability of getting a sum of 5?

There are altogether 36 possibilities. Of these ,(1,4),(2,3),(3,2),(4,1) will give a sum of 5. Hence the probability is 4/36=1/9.

How many ways are there to get a sum of 8?

There are 5 possible ways for the the sum to be 8, they are: 2 and 6, 3 and 5, 4 and 4, 5 and 3, and finally, 6 and 2. Note, 2 and 6 is not the same as 6 and 2. The probability of any number occurring is 1 in 36 or 1 / 36.

What is the probability of getting a sum of 6?

Answer: The probability of rolling a sum of 6 with two dice is 5/36.

What is the probability of 6?

Two (6-sided) dice roll probability table

Roll a… Probability
5 10/36 (27.778%)
6 15/36 (41.667%)
7 21/36 (58.333%)
8 26/36 (72.222%)

How do you solve for probability?

Divide the number of events by the number of possible outcomes.

  1. Determine a single event with a single outcome. …
  2. Identify the total number of outcomes that can occur. …
  3. Divide the number of events by the number of possible outcomes. …
  4. Determine each event you will calculate. …
  5. Calculate the probability of each event.

How many possible ways are there to roll a 4?

How many total combinations are possible from rolling two dice? Since each die has 6 values, there are 6∗6=36 6 ∗ 6 = 36 total combinations we could get.

What are the most likely outcomes from rolling a pair of dice?

Outcome Probability
4 3/36 = 8.33%
5 4/36 = 11.11%
6 5/36 = 13.89%
7 6/36 = 16.67%

How many ways can you get a sum of 7?

Explanation: When two dices are rolled, there are six possibilities of rolling a sum of 7 .

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How many ways can you get 7?

Since there are 6 ways to get 7 and two ways to get 11, the answer is 6+2=8.

What is the probability of rolling a sum of 4 4 on a standard pair of six sided dice?

1 Expert Answer

You are asked to find P(Sum > 4), this is equal to 1 – P(Sum < 4). These are the only combinations for the dice to sum to a value less than 4. Therefore, of the 36 possible combinations, 3 are removed, leaving you with 33/36 possible combinations.

When 3 dice are rolled find the probability of getting a sum of 4?

Probability of a sum of 4: 3/216 = 1.4%

What is the probability of getting a sum greater than 4?

1 Expert Answer

So in a single roll the probability of getting a number greater than 4 is 2/6 = 1/3.