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## What is the probability that the sum of two dice is greater than 6?

As each roll is independent of each other and there are 6 possible results for each D6, rolling two dice gives you 6 * 6 = **36 possible results**. For Event A: If the first dice rolled is 1, then there is 1 possible result the second D6 can roll, if added with the first number yields a sum greater than 6 (6).

## What is the probability that the sum of two dice will be greater than 7 Given that the first die is a 4?

P(B) = 6 36 . Now, if the first die shows 4 there is only one way to make the sum of both dice equal 7 which means P(A ∩ B) = 1 36 . Therefore, the probability that the first die shows 4 given that the sum is 7 is **P(A|B) = P(A ∩ B) P(B) = 1/36 6/36 = 1 6** .

## What is the theoretical probability of rolling a sum greater than 8 with a pair of dice?

Determine the probability of rolling a sum greater than 8, to the nearest hundredth. my work: First, it is important to note that the results of the two dice are independent (that is, they do not affect each other). Thus, there are **6*6=36 possible outcomes**.

## What is the probability that the sum of two dice is greater than 7?

As the chart shows the closer the total is to 7 the greater is the probability of it being thrown.

…

Probabilities for the two dice.

Total | Number of combinations | Probability |
---|---|---|

7 | 6 |
16.67% |

8 | 5 | 13.89% |

9 | 4 | 11.11% |

10 | 3 | 8.33% |

## What is the probability of getting not more than 7 in rolling of a die?

Answer: the probability of getting a number less than 7 in a throw of dice is **1**.

## What is the probability of getting a sum greater than 9?

So probability of getting a sum greater than 9 is= 6/36=**1/6** Ans.

## What is the probability that the sum of 2 die will be greater than 8 Given that the first die is 6?

The probability of a total greater than 8 given that the first die is 6 is therefore **4/6 = 2/3**. More formally, this probability can be written as: p(total>8 | Die 1 = 6) = 2/3.

## What is the probability of rolling a sum of 7 on two six sided dice?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.

## What is the probability of rolling 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**.