If one event has p possible outcomes, and another event has m possible outcomes, then there are a total of p • m possible outcomes for the two events. Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.

## When two normal dice are rolled the sample space consists of how many events?

the sample space consists of all possible outcomes of the experiment. i believe there will be 6 * 6 = **36 possible outcomes**. that’s because, for every number from 1 to 6 on the first die, there are 6 possible numbers on the second die. 6 * 6 = 36 possibilities.

## What is the probability of getting at most the difference of 3?

1/6 chance for each side, 1/36 to roll any one of those combinations. Multiply that chance by 3, for the 3 combinations we can roll to give us a difference of 3, and we get **3/36**, or an 8.

## What are the event of rolling a six-sided die?

A compound **event**An **event** with more than one outcome. is an **event** with more than one outcome. For example, in **rolling** one **six**–**sided die**, **rolling** an even number could occur with one of three outcomes: , , and . When we **roll a six**–**sided die** many times, we should not expect any outcome to happen more often than another.

## How do you calculate sample space?

The sample space is **S = {H, T}**. E = {H} is an event. Example 2 Tossing a die. The sample space is S = {1,2,3,4,5,6}.

## What is the probability of rolling a four with a six-sided die?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |

## When two events Cannot occur together?

In statistics and probability theory, two events are **mutually exclusive** if they cannot occur at the same time. The simplest example of mutually exclusive events is a coin toss. A tossed coin outcome can be either head or tails, but both outcomes cannot occur simultaneously.

## When two dice are rolled the maximum total on the two faces of the dice will be?

Answer: When two dice are thrown simultaneously, thus number of event can be **62** = 36 because each die has 1 to 6 number on its faces.

## What is the probability of rolling a 2 with 2 dice?

Probabilities for the two dice

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

2 |
1 |
2.78% |

3 | 2 | 5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

## What is the probability of rolling a 7 or 11 with two dice?

What about 7 OR 11? There are 6 x 6 or 36 options, all are equally likely, 7 occurs 6 times, so the chances are 6/36 or 1/6. 11 occurs 2 times so chances are **2/36 or 1/18**. 7 or 11 are 8 of the 36 options so 8/36 or 2/9.