Question

If i roll a dice 120 times how many times am I gonna get 4

Answer 1

Answer:

20 out of 120 times

Step-by-step explanation:

As others have said, the general formula is:

expected successes = probability*number of trials

Perhaps an easier question: If you roll a die 6 times, how many 4s would you expect to get?

1, right? 1 out of every 6. That’s what 1/6 means.

If you roll a die 12 times, you expect 2. 2/12 = 1/6

Answer 2

Answer:

For this exercise, you classify the numbers and count them. If you get a 4 you count it, otherwhise you don’t.

This is analogous to having a box with six tickets in it:

[1] [0] [0] [0] [0] [0]

What would be the sum if you draw with replacement 120 times?

The average of the box is 1/6 (just like the probability of getting a 4 while rolling a die). So:

Expected value = (1/6) (120) = 20

You can expect to get 20 times the number 4 when rolling a die 120 times.

Now, the Standard Deviation of the box is 0.37, and the Standard Error is:

SE: 120−−−√(0.37)=4.08

Roughly, 95% of the times, the number of 4s will be between -2 and +2 standard errors. So:

95% of the times, the number of 4s will be between 12 and 28.

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Step-by-step explanation:

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