Answer:
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the events getting a 2 and the letter B are independents, so we find each separate probability and multiply them.
Probability of getting a 2:
8 possible values on the spinner, one of which is 2. So
[tex]P(A) = \frac{1}{8}[/tex]
Probability of getting a B:
6 possible values, two of which are B. So
[tex]P(B) = \frac{2}{6} = \frac{1}{3}[/tex]
P(2 and B)?
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{8}*\frac{1}{3} = \frac{1}{8*3} = \frac{1}{24} = 0.0417[/tex]
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
