Question

How many times should the dice be thrown, so that with the probability 1/2 the amount of dropped points will exceed 100?

Answer 1

When throwing the dice, with the probability 1/2 we can have one of the numbers 4, 5 or 6. That is, with the probability 1/2 the average number of points is 5. So, to get the total score 100 with the probability 1/2, you need to throw the dice 100/5=20 times. Thus, for the sum of points to exceed 100, you have to throw it 21 times.