Question

If a number cube is rolled, how many times would we expect to get a number less than four out of 200 trials? Answer is 100

100
25
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75

Answer 1

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

How to determine the expected number of rolls?

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

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