A box contains one yellow, two red, and three green balls. Two balls are randomly chosen...

A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events, and use them to find the conditional probabilities below.

A:{A:{ One of the balls is yellow }}
B:{B:{ At least one ball is red }}
C:{C:{ Both balls are green }}
D:{D:{ Both balls are of the same color }}

a) P(B¯¯¯¯|A)=

b) P(B¯¯¯¯|D)=

c) P(C|D)=

Suppose that E and F are events in the sample space with P(E∩F)=0.03, P(E|F)=0.1, and P(F|E)=0.2. Find the following probabilities.

a) P(E)=
b) P(F)=
c) P(E∪F)=

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Expert Solution

orchestra answered 1 year ago

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