Question

You create a game that uses the spinner shown

Find the probability of:

P(< 6 | yellow)

Answer 1

`(2)/(3)`

Explanation:

Conditional Probability:

`P(A|B)=(P(A \cap B))/(P(B))`

From the spinner shown, there are 10 sections.

`P(< 6)=6/10\\P(Yellow)=3/10`

`P($Yellow and $ <6)=2/10`

Therefore:

`P(< 6 | \text{Yellow})=\frac{P(<6 \cap \text{Yellow } )}{P(\text{Yellow})}\\\\=(2/10)/(3/10)\\=(2)/(3)`