Question

Denise is choosing paint colors for her new house. The probability that she uses gray is 0.80, uses blue is 0.70, or uses yellow is 0.75. What is the probability that she uses gray or yellow if the probability that she uses gray and yellow is 0.62?

Answer 1

The probability that she uses gray or yellow is 0.93

Explanation:

Answer 2

The probability that she uses gray or yellow is 0.93

Explanation:

Suppose,
`G`,
`B` and
`Y` represent the events of using gray, blue and yellow colors respectively.

So,
`P(G)= 0.80 , P(B)= 0.70` and
`P(Y)= 0.75`

The probability that she uses gray and yellow is 0.62 , that means
`P(G \cap Y)= 0.62`

The formula we will use here:
`P(G\cup Y)= P(G)+P(Y)-P(G\cap Y)`

According to the above formula.....

`P(G \cup Y)= 0.80+0.75-0.62\\ \\ P(G\cup Y)= 0.93`

So, the probability that she uses gray or yellow is 0.93