Respuesta :
[tex]\text{probability}=\frac{\text{ number of favorable outcomes}}{total\text{ number of outcomes}}[/tex]
First event: spin a B
number of favorable outcomes: 1
total number of outcomes: 4
Then, the probability of spinning a B is:
[tex]P(B)=\frac{1}{4}[/tex]Second event: rolling an even number
number of favorable outcomes: 3 (2, 4, 6)
total number of outcomes: 6
Then, the probability of rolling an even number is:
[tex]P(even)=\frac{3}{6}=\frac{1}{2}[/tex]These two events are independent (one event or result doesn't affect the other one), then:
[tex]\text{ P(B and even)=P(B)}\cdot P(even)=\frac{1}{4}\cdot\frac{1}{2}=\frac{1}{8}[/tex]