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## What is the probability that the numbers obtained on two dice are not same?

The probability of rolling a specific number twice in a row is indeed **1/36**, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).

## What is the probability that all the dice show different numbers?

Summary : If three dice are tossed, then the probability that the numbers shown will all be different is **5/9**.

## What is the probability that all three dice show different numbers?

For any one roll, examining the dice one by one, the 1st will have some number 6/6 or 100% of the time. The second will differ from the first 5/6 of the time and the third will differ from the first two 4/6 of the time. So the probability of all being different is 6/6 * 5/6 * 4/6, or **about 55.56%**.

## What is the probability of rolling the same number 3 times?

The probability of getting the same number is again **1/6**. So the probability of three numbers the same is 1/6×1/6.

## What is the probability of rolling two even numbers?

P(E)=636=16. Probability of two different even numbers = Probability of both even * Probability of both different given they are both even. Probability of both even is **12×12=14**.

## What is the probability of getting a prime number from 1 to 100?

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Hence, the probability of the event that a number chosen from 1 to 100 is a prime number . Therefore, the correct option is (C).

## What is the probability of 3 dice?

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 of getting a total of 7 on the two dice?

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 formula of probability?

P(**A**) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

…

Basic Probability Formulas.

All Probability Formulas List in Maths | |
---|---|

Conditional Probability | P(A | B) = P(A∩B) / P(B) |

Bayes Formula | P(A | B) = P(B | A) ⋅ P(A) / P(B) |

## What is the probability of getting 1 and 5 If a dice is thrown once?

So they are mutually exclusive events, therefore their probabilities add to 1. By symmetry we expect that each face is equally likely to appear and so each has probability = **1/6**. The outcome of a 5 is one of those events and so has probability = 1/6 of appearing.

## What is the probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is **91**. 91 out of 216 or 42.1 %.