Question

Question #f7631

Answer 1

Probability of getting a prime number is `1/2`.
Probability of getting a non-integer number is `0`.

Explanation:

The set of elementary events is `1,2,3,4,5,6`.
Assuming the cube is symmetrical from any perspective, the probability of getting each number is the same for all results of tossing. That makes the probability of each number to be `1/6`.

There `3` prime numbers among possible results of the tossing - `2,3,5`. Since each of them has probability of `1/6`, the probability of getting a prime number equals to `1/6+1/6+1/6=1/2`.

Each number that is the result of tossing this cube is integer. There are no non-integer numbers among them. It means that the probability to get a non-integer number equals to `0`.