Question

A coin is tossed 100 times. Consider the following statements:

I. The expected value for the number of heads is 50.
II. The number of heads will be 50.
III. The number of heads will be around 50, give or take 5 or so.
Which one(s) is(are) correct?

Answer 1

1. and III.

Explanation:

Option 1 and 3 are correct.

The probability of landing on heads would be 1/2, so 50 times in 100. This is the expected outcome, so option 1 is correct.

However, that is just the most probable outcome, probability is almost never 100% accurate. Therefore, the number of heads will most likely be 50, give or take 5 or so. Therefore, option 3 is also correct.