Question

In a game the player wins if he rolls a 4 on a number cube. If the number cube is rolled 24 times, then what is a reasonable prediction for the number of unsuccessful rolls?

Answer 1

Answer: 20

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Step-by-step explanation:

If we want to roll a 4, then theoretically we have a probability of 1/6 of that happening. This is because there's 1 face that has "4" labeled on it, out of 6 faces total.

If we roll the cube 24 times, then we expect 24*(1/6) = 24/6 = 4 instances of the "4" show up. Of course, due to the random nature of this event, it's not guaranteed. So that's why we use the "expect" there.

We expect 4 times to get successful rolls, which means we have 24-4 = 20 unsuccessful rolls. This value (20) is also an expected or predicted value, and not a guarantee.