You create a game that uses the spinner shown
Find the probability of:
P(< 6 | yellow)

Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Conditional Probability:
[tex]P(A|B)=\dfrac{P(A \cap B)}{P(B)}[/tex]
From the spinner shown, there are 10 sections.
[tex]P(< 6)=6/10\\P(Yellow)=3/10[/tex]
[tex]P($Yellow and $ <6)=2/10[/tex]
Therefore:
[tex]P(< 6 | \text{Yellow})=\dfrac{P(<6 \cap \text{Yellow } )}{P(\text{Yellow})}\\\\=\dfrac{2/10}{3/10}\\=\dfrac{2}{3}[/tex]