# When rolling two dice What is the probability that one die is twice the other?

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“Given that two fair dice are rolled, what is the probability of one of the die being twice that of the other?” So obviously the answer is 6/36.

## When a fair dice is rolled twice what is the probability of obtaining a greater number on the second roll as compared to the first?

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By symmetry, the probability that the second die is higher than the first must be the same as the probability that the first die is higher than the second, and hence, both have probability 1/2*(5/6) = 5/12. The answer is 5/12.

## What is the probability that the second die will have a number that is less than the number on the first die?

Once you’ve noticed that, it’s easy to generalize the result: if you roll two n-sided dice, there are n2 possible outcomes, out of which in (n2−n)/2 the second roll will be less than the first. Thus, the probability of the second roll being less than the first is n2−n2n2=n−12n.

## When a dice is rolled twice there are possible outcomes?

There are 6 outcomes for the first roll and 6 for the second so the total number of possible outcomes is 6 times 6 = 36. There are 6 of these in which the two numbers are equal: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

## How do you find the probability?

How to calculate probability

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.

## What is the probability of rolling 2 sixes in a row?

The probability of rolling two sixes on two rolls is 16 as likely as one six in one roll. To make up for this, a pair of dice should be rolled six times for every one roll of a single die in order to get the same chance of a pair of sixes.

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## What is the probability that the first two rolls of a die will be 1?

If the die is fair (and we will assume that all of them are), then each of these outcomes is equally likely. Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

## What is the probability that each die shows the same value on the second roll as on the first roll?

(b) what’s the probability that each die shows same value on second roll as first row? for 1 dice, there are 6 cases of the same value, so it’s 1/6. For both die, it’s (1/6)*(1/6) = 1/36.

## When two dice are rolled find the probability of getting a greater number on the first die than the one on the second given that the sum should equal 8?

Step-by-step explanation:

And there are two ways where the number on the first die is greater than the one on the second given that the sum should equal 8, G = {(5,3), (6,2)}. Therefore, P(Sum equals 8) = 5/36 and P(G) = 2/36.

## What is the probability of rolling a 3 followed by a 2?

Therefore the probability of getting a 2 followed by a 3 is 1/6*1/6 or simply put 1/36.

## What is the probability of rolling a 6 twice?

The probability of rolling a 6 on your second roll is also 1/6, because the second roll is not influenced by the first. Of the 1/6 portion of first rolls that yield a 6, 1/6 of those second rolls will yield a 6- so the total probability of rolling 2 sixes is 1/36.

## What is the probability of rolling a 3 or 6?

Two (6-sided) dice roll probability table

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 that the sum of the numbers is at least 10?

What is the probability of getting a sum of 10? Assuming that you are using 6 sided Die – Out of 36 possible combinations only 4 rolls will add up to 10. So 4 out of 36 or 1 out of 9.

## What is the probability of rolling a dice twice and having a sum of 3 or sum of 4?

The number of favorable outcomes = 3. Total number of possibilities = 36. Probability = The number of favorable outcomes / Total number of possibilities = 3 / 36 = 1/12.

## When three dice are rolled what is the probability of getting a triplet?

Therefore, the probability of getting a triplet = 6/216 = 1/36.