Question

Please help me solve this problem,this is my last question on my hw and it’s worth a lot of points

Answer 1

Given:

We are required to calculate:

`P\lparen C\text{ or B\rparen}`

The events are non-mutually exclusive. Hence the probability of C or B can be calculated using the formula:

`P\left(C\text{ or B}\right)\text{ = P\lparen C\rparen + P\lparen B\rparen - P\lparen C and B\rparen}`

and

`P\lparen C\text{ and B\rparen = P\lparen C\rparen }*\text{ P\lparen B \mid C\rparen}`

Substituting the given values:

`\begin{gathered} P\lparen C\text{ or B\rparen = 0.69 + 0.60 - \lbrack0.69 }*\text{ 0.77\rbrack} \\ =\text{ 0.7587} \end{gathered}`

Answer:

P(C or B) = 0.7587