Answer:
The probability of rolling a number that is even and a multiple of 3 is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}
Now, let E: Event of getting an even number and a multiple of 3
So, out of all the outcomes, {6) is the ONLY possible favorable outcome.
[tex]\textrm{P(E)} =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}[/tex]
or, [tex]P(E) = \frac{1}{6}[/tex]
Hence, the probability of rolling a number that is even and a multiple of 3 is [tex]\frac{1}{6}[/tex]
