Question

A cube has six sides that are numbered 1 to 6 the sides numbered 1, 3 and 5 are yellow and the sides numbered 2, 4 and 6 are orange what is the probability of rolling a cube in getting a yellow and even number

Answer 1

0/0

Explanation:

The number can't be even and yellow if all yellow numbers are odd.

Answer 2

Answer: The probability of rolling a yellow and an even number is 0.

Step-by-step explanation: Given that a cube has six sides that are numbered 1 to 6 the sides numbered 1, 3 and 5 are yellow and the sides numbered 2, 4 and 6 are orange.

We are to find the probability of rolling a cube in getting a yellow and even number.

Let S be the sample space for the experiment of rolling a die.

Then, n(S) = 6.

Also, let A and B denote the event of rolling a yellow and an even number respectively.

So, n(A) = 3 and n(B) = 3.

Now, the event of rolling a yellow and an even number is given by

`A\cap B=\{\}\\\\\Rightarrow n(A\cap B)=0.`

Therefore, the required probability is

`P(A\cap B)=(n(A\cap B))/(n(S))=(0)/(6)=0.`

Thus, the probability of rolling a yellow and an even number is 0.