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He should expect it 100 times.
You can expect to get a 5 about 15 times out of 90.
Possible outcomes of one roll = 6Successful outcomes = 1Probability of success on each roll = 1/6Expectation in 150 rolls = (1/6) x (150) = 25 times
If you roll a die 100 times, you would expect to get a 1 about 17 times, because the probability of getting a 1 is 1 in 6, or 0.1667. However, that is theoretical probability; experimental probability - the actual results of doing this 100 times - might not be 17, but if you did this a large number of times, the experimental results would indeed begin to approach the theoretical results.
1/6 of all outcomes should be a 5. 300*1/6=50 This is the answer regardless of what you are rolling for. You would find whatever number you want and average about 50 times if you were to roll the dice 300 times. You might not get exactly 50, but it won't be far from that. There are faces on a die, and the odds of any one of those 6 numbers showing up is 1 out of 6 times. The above is only true if the dice are not rigged in any way ("loaded dice"). Now, if only one number likes to keep coming up, you might be dealing with loaded dice. In that case, the dice are made for cheating and the mathematical laws of average no longer apply.