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

Respuesta :

Answer:

0/0

Step-by-step explanation:

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

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

[tex]A\cap B=\{\}\\\\\Rightarrow n(A\cap B)=0.[/tex]

Therefore, the required probability is

[tex]P(A\cap B)=\dfrac{n(A\cap B)}{n(S)}=\dfrac{0}{6}=0.[/tex]

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