How many times will you get a six if you throw a dice 100 times?
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How many times will you get a six if you throw a dice 100 times?
(a) if a fair die is rolled 100 times, how many 6’s do you expect? the probability of rolling a 6 on a fair die is 1/6, so that we expect 100 × 1/6 = 16.7 ≈ 17 6’s to be rolled.
How many times would you expect to get a six if you rolled a fair dice 18 times?
When you roll a die 18 times, it is possible to get a countable number of sequences such that a 1,2,3,4,5,6 each appear 3 times.
How many possible outcomes are there when rolling one die?
| 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 rolls will it take to roll a 6?
That is 20 out of 30 trials, or 2/3. So, within the context of the problem at hand, there is a 2/3 chance of rolling a 6.
What is the probability of getting a total of at most 6 from rolling three dice?
4.6\%
Probability of a sum of 6: 10/216 = 4.6\%
How many outcomes are there when rolling 4 dice?
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 when rolling 2 dice?
36 outcomes
Why do we know, without listing them all, that there are 36 outcomes when two dice are rolled? We can view the outcomes as two separate outcomes, that is, the outcome of rolling die number one and the outcome of rolling die number two.
What is the expected number of rolls for one die?
It’s not hard to write down the expected number of rolls for a single die. You need one roll to see the first face. After that, the probability of rolling a different number is 5/6. Therefore, on average, you expect the second face after 6/5 rolls.
How do you find the probability of rolling a single die?
The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p, we only need to multiply this probability by itself as many times as the number of dice. In other words, the probability P equals p to the power n, or P = pⁿ = (1/s)ⁿ.
How many times Would you expect to roll a 4?
This is it’s probability. With this in mind we can now answer how many times you would expect to roll a 4 if you roll a dice 600 times. So, on average, you would roll a four 100 times out of all 600 rolls. So, I hope that this is not a homework question but…anyways, if it is I assume that you don’t understand.
How many times Would you roll a 4 with 600 dice?
The answer to this is 1 / 6 = One out of every six rolls. This is it’s probability. With this in mind we can now answer how many times you would expect to roll a 4 if you roll a dice 600 times. So, on average, you would roll a four 100 times out of all 600 rolls.