## How many times do you expect to roll a fair die until you get a 1?

What’s the expected number of rolls until you roll the first 1? I assume you are talking about a fair six sided dice. So the answer is **6**.

## What is the average number of rolls of a die to get a 6?

Ok, let’s translate this into a simple question about rolling a die: How many times would you expect to roll a die to see a 6? The probability of getting a six in a single throw is 1/6. Therefore, on average, you’ll have about **six throws for every appearance of a 6**.

## How many times must you roll a die until each side has appeared?

The steps below describe the process. (The numbers represent the order of the observed sides, not the values on the dice.) Adding all the expected number of rolls for each definition of success we get 14.7. So we expect to roll a die about **15 times on averageÂ** before we observe all sides at least once.

## What happens if you roll a dice 100 times?

A “lucky number” in this case is any face of the die that occurs visibly more common than one would normally expect. If you roll a six-sided die 100 times, you expect the outcome to occur with **~16.6** results of 1, 2, 3, 4, 5, and 6 ea, on average.

## How many times must a 6 sided die be rolled until a 6 turns up?

You need to roll the die, on the average, just **four times** before you see a 6. You need to roll the die, on the average, just four times before you see a 6.

## What is the probability of rolling the same side of a dice three times in a row?

Assuming you are talking about rolling a standard 6-sided die, the odds of rolling the same number 3 times is **(1/6)^3 = 1/216**.

## How many times will you get a six if you throw a dice 100 times?

About 9 **times** it **will take** 4 **throws**(36 **throws**) etc. Then **you would** add up ALL of those **throws** and divide by **100** and **get** ≈**6**.

## How many dice must be rolled to have at least a 95% chance of rolling a six?

Plugging in a value of Pr=0.5, give the results n≈3.8, since dice are quantized, this means we’d need to roll four dice. For 95% confidence, Pr=0.95, n≈16.43, so we’d need at least **17 dice**.

## How many times should you expect to roll a six sided die until you get two 6’s in a row?

Two sixes, not adjacent

It’s just two sequential sets of rolls to get a single six. It’s expected that we’ll take, on average, six rolls to get the first six, then another six from that point to get the second six. The expected numer of rolls to get to two sixes is **12**.

## What is the probability of getting consecutive 6 6 before consecutive6 5?

So, the probability of getting consecutive 6,6 before consecutive 6,5 is **zero**.

## How many times do you expect to roll a fair die in order to get a 2?

Yes 2/6 or 1/3 represents that on a given roll, it ends up being a 4 or a 2. Theoretically, there is a chance that you may have to roll **9999999999 times** until you get a 4 or a 2 for the first time, or it could happen on your first roll.

## What is the probability of rolling a 6 on a standard die with sides numbered 1 through 6?

A six sided die has six sides numbered from 1 to 6. Each side has 1 chance in 6 of being on top. so probability (6) = 1/6 or about 0.166667.