Question

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 2, and 5 are green, and the sides numbered 3, 4, and 6 are red. What is the probability of rolling the cube and getting a green or even number?

0
5/6
1

Answer 1

5/6 because 1 and 5 are odd numbers

Answer 2

`P(A\cup B)=(5)/(6)`

B is correct.

Explanation:

A cube has six sides that are numbered 1 to 6.

The sides numbered 1, 2, and 5 are green.

The sides numbered 3, 4, and 6 are red.

Sample Space: 1G, 2G, 5G, 3R, 4R, 6R

We need to find the probability of rolling the cube and getting a green or even number.

Let A be event getting green and B be event getting even number.

`P(A)=(3)/(6)`

`P(B)=(3)/(6)`

`P(A\cap B)=(1)/(6)`

The probability of rolling the cube and getting a green or even number.

`P(A\cup B)=P(A)+P(B)-P(A\cap B)`

`P(A\cup B)=(3)/(6)+(3)/(6)-(1)/(6)`

`P(A\cup B)=(5)/(6)`

Hence, The probability of rolling the cube and getting a green or even number is 5/6