Answer:
[tex]P(A\cup B)=\dfrac{5}{6}[/tex]
B is correct.
Step-by-step 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.
[tex]P(A)=\dfrac{3}{6}[/tex]
[tex]P(B)=\dfrac{3}{6}[/tex]
[tex]P(A\cap B)=\dfrac{1}{6}[/tex]
The probability of rolling the cube and getting a green or even number.
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=\dfrac{3}{6}+\dfrac{3}{6}-\dfrac{1}{6}[/tex]
[tex]P(A\cup B)=\dfrac{5}{6}[/tex]
Hence, The probability of rolling the cube and getting a green or even number is 5/6
