If two number cubes are rolled, what is the probability of getting at least one even number?
To find the probability of getting at least one even number when two number cubes are rolled, we need to calculate the probability of the complementary event and subtract it from 1.
The complementary event is the probability of not getting any even number on both number cubes, which means getting all odd numbers.
First, let's determine the probability of rolling an odd number on one cube.
On a standard number cube, there are 3 odd numbers out of 6 possible outcomes (1, 3, and 5), so the probability of rolling an odd number on one cube is 3/6 = 1/2.
Since the two number cubes are independent events, the probability of both rolls being odd is found by multiplying the probabilities of the individual rolls: (1/2) * (1/2) = 1/4.
To find the probability of getting at least one even number, we subtract the probability of getting all odd numbers from 1:
1 - 1/4 = 3/4.
Therefore, the probability of getting at least one even number when two number cubes are rolled is 3/4.
E=even, O=odd
The possible outcomes are:
{EE,EO,OO,OE}
of which 3 out of 4 have at least one even.
So the probability of getting at least one even is:.....