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

Please help me solve this problem,this is my last question on my hw and it’s worth-example-1
Please help me solve this problem,this is my last question on my hw and it’s worth-example-1
Please help me solve this problem,this is my last question on my hw and it’s worth-example-2
User Ryan Zhang
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1 Answer

23 votes
23 votes

Given:


\begin{gathered} P\lparen C)\text{ = 0.69} \\ P\lparen C\text{ \mid A\rparen = 0.73} \\ P\lparen B)\text{ = 0.60} \\ P\lparen B\text{ \mid C\rparen = 0.77} \end{gathered}

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

User Eric Y
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2.8k points