# Question: What is the probability of rolling at least one 6 when two fair dice are rolled?

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## What is the probability of getting at least one 6?

a) Consider the complement problem, there is a 5/6 probability of not rolling a six for any given die, and since the four dice are independent, the probability of not rolling a six is (5/6)4 = 54/64 = 625/1296. The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ .

## What is the probability of rolling at least one 1 with two dice?

Now, there are 36 possible pairs the two dice can make (6×6). So the probability of NOT rolling a 1 is 25/36. The opposite (the “complement”) of “NOT rolling a 1” is “rolling AT LEAST one 1”. Therefore, the probability of rolling at least one 1 is 1-25/36 = 36/36 – 25/36 = 11/36.

## What is the probability of rolling 3 times and not getting a 6?

Rolling a single die, the probability that it does not show a 6 is 5/6. So rolling three dices, the probability for no 6 is (5/6)3, and therefore the probability for at least one 6 is 1−(56)3=91216.

## What is the probability of rolling a 2?

Two (6-sided) dice roll probability table

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Roll a… Probability
2 1/36 (2.778%)
3 2/36 (5.556%)
4 3/36 (8.333%)
5 4/36 (11.111%)

## What is the probability of rolling a 7?

Probabilities for the two dice

Total Number of combinations Probability
4 3 8.33%
5 4 11.11%
6 5 13.89%
7 6 16.67%

## What is the probability of flipping tails and rolling a six?

Step-by-step explanation:

: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

## What is the probability of rolling a 1 and then a 2 on a six-sided dice?

Based on this, you correctly conclude that a one and a two occurs with probability 236, or 118.

## What is the probability of rolling a 1 or 2?

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.

## How do you find the probability of at least one?

To find the probability of at least one of something, calculate the probability of none and then subtract that result from 1. That is, P(at least one) = 1 – P(none).