[For P(B)]
Answer: ? = 3
Step-by-step explanation:
The given tree diagram tells us what the probability that event B will occur. This is three-fourths. With this in mind, P(B) = [tex]\frac{3}{4}[/tex], so ? = 3.
[For P(B, C)]
Answer:
[tex]\dfrac{9}{20}[/tex]
Step-by-step explanation:
The given tree diagram tells us what the probability that event B (three-fourths) and event C (three-fifths) will occur. With this in mind, we can find the probability that both events will occur by multiplying the probabilities together.
[tex]\displaystyle \text{P(B, C) = }\frac{3}{4} *\frac{3}{5} =\frac{3*3}{4*5} =\frac{9}{20}[/tex]
