Question

Amy rolls a number cube ten times and gets 3 four times! If she rolls the number cube 240 times, how many times should she get a 3 (Hint: Should her results be used, or the theoretical probability?).

Answer 1

96

Explanation:

Answer 2

Amy should not use her previous luck of rolling a 3 four times because theoretical probability remains the same even after an event favoring one side has occurred by chance.

Explanation:

Assuming that this number cube has 6 sides, there is only 1 side that has a 3 on it. For this reason, every time the cube is rolled there is a 1 in 6 chance that the number will be a 3. If she rolls the number cube 240 times, 1 out of 6 rolls would be a 3. This means that 240/6 equals the number of times she would get a 3. Moreover, Amy would role the number 3 on 40 different times after rolling the cube for a total of 240.