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Suppose you roll five dice, what is the probability that at least one “1” and at least one “6” will appear? Now P(A or B) = P(A) + P(B) – P(A and B) As the other answer points out, the total number of outcomes with a roll of 5 standard dice is 6^5 = 7,776.

## How many different outcomes are possible when 5 dice are rolled 1 point?

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 are there when five dice are rolled in which at least one dice shows 1?

In more detail, there are 6 combinations for 1 dice and there are 5 dice so you times the 6 combos by itself 5 times to get to the total combinations possible in the set. 6^5=7776 so the answer is 1/7776.

## How many outcomes would there be in the sample space for rolling 5 dice and flipping 5 coins?

Since there are 5 people, there are 105 possible outcomes.

## What is the probability that you roll at least one 1?

Explanation: The probability of rolling at least one “1” if you roll a dice six times is the same as 1 minus the probability of rolling zero 1s if you roll a dice six times. The probability of not rolling a 1 if you roll a dice once is 5/6.

## How many possible outcomes are there for 5 numbers?

In total you will find 5 × 24 = 120 possibilities.

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

Given that the dice are fair, the probabilities for all possible outcomes are equal. Since there are five six-sided dice, the number of possible outcomes is 65.

## How many outcomes are possible with 6 dice?

Since each die has 6 values, there are 6∗6=36 6 ∗ 6 = 36 total combinations we could get.

## How many possible ways are there to roll 4 dice?

The total number of possible outcomes is 6*6*6*6 which equals 1296. The total number of possible outcomes of not rolling any 4’s is 5*5*5*5 which equals 625. Therefore the number of possible outcomes in which at least one die shows 4 is 1296 – 625 which is 671. The luck is with you when it comes to rolling the dice.

## How many outcomes would there be in the sample space for rolling 5 dice and flipping 3 coins?

1. The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}. The sample space of a sequence of five fair coin flips in which at least four flips are heads is {HHHHH,HHHHT,HHHTH,HHTHH,HTHHH,THHHH}.

## How many outcomes are there when rolling two dice?

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).

## What are the total outcomes when 3 dice are thrown together?

Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 6^{3} = (6 × 6 × 6) = 216.

## What is the probability of rolling at least one 5?

Probability of rolling a certain number or less with one die

Roll a…or less | Probability |
---|---|

3 | 3/6 (50.000%) |

4 | 4/6 (66.667%) |

5 | 5/6 (83.333%) |

6 | 6/6 (100%) |

## What’s the probability of rolling at least one 5 during two rolls of a dice?

The number of possible outcomes which have atleast 1–5, is 6+6 (1×6, and 6×1, meaning one dice gets 5 and other dice 6 different numbers and vice versa). The total possible outcomes are 6×6 I.e. 36. So the probability is 12/36.

## What is the probability of rolling a 1 or 6?

What is the probability of rolling either a 1 or a 6 in two rolls or less with one fair 6-sided dice? – Quora. Therefore you have a chance of 5/9 to get a 1 or a 6 in two rolls.