# When a die was rolled find all the possible outcomes of getting an even number?

## When a die was rolled find all the possible outcomes of getting an even number?

Trial Outcomes Examples of Events
Rolling a die There are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Rolling an even number: {2, 4, 6} Rolling a 3: {3} Rolling a 1 or a 3: {1, 3} Rolling a 1 and a 3: { } (Only one number can be rolled, so this outcome is impossible. The event has no outcomes in it.)

## How many possible outcomes are there when five dice are rolled in which at least one dice shows 6?

So the probability of rolling 5 fair dice and getting at least one 1 and at least one 6 is 2,550/7,776 = 1,275/3,883, if I’m not mistaken. Let’s assume we are rolling five fair six-sided dice, numbered 1 through 6. The total number of possible outcomes of a roll of five dice is 6^5 = 7,776.

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When a dice is thrown find the probability of getting an even number?

1/2
Answer: The probability of getting an even number on the first side when a pair of dice is thrown once is 1/2.

How many possible outcomes are there if a pair of dice is rolled?

36 possibilities
Note that there are 36 possibilities for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

### How many different outcomes are possible for 4 rolls of a die?

6
We call the outcomes in an event its “favorable outcomes”. If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6).

### How many outcomes are there in the sample space for rolling 1 die?

six possible outcomes
The set of all the possible outcomes is called the sample space. Thus the numbers on the die become the set. The sample space has six possible outcomes: {1, 2, 3, 4, 5, 6}.

How many different rolls are possible when rolling 5 dice?

There are 7776 possible combinations for five dice.

How many different outcomes are possible when 5 dices are rolled?

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By extension, we have a total of 65 = 7776 possible outcomes for all five dice. To correctly count the number of full houses, we first consider what the numbers are in the 3-of-a-kind and in the pair.

(c) 1/6 (d) 1/4.

## What is the probability that an ordinary year has 53 Sundays?

1 / 7
In 365 days, Number of weeks = 52 weeks and 1 day is remaining. 1 remaining day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. Total of 7 outcomes, the favourable outcome is 1. ∴ probability of getting 53 Sundays = 1 / 7.

How many outcomes are there with 2 dice?

36
When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six). 6 x 6 = 36.

How many different outcomes are possible when 5 dice are rolled?

7776 possible outcomes
The last die may have six values. For each of these six values, the second- to-last die may have six values. Thus, we have 6·6 = 36 possible outcomes for the last two dice. By extension, we have a total of 65 = 7776 possible outcomes for all five dice.

### How many possible outcomes can you get from rolling two dice?

One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice. Suppose that the first die we roll comes up as a 1.