Urn 1 contains 5 red and 3 blue marbles and urn 2 contains 7 red marbles and 3 blue marbles. a marble is randomly selected from urn 1 and placed in urn 2. a marble is then drawn from urn 2 a. what is the probability that the marble drawn from urn 2 is red? b. what is the conditional probability that the ball drawn from urn 1 is red, given that a blue marble is drawn from urn 2?

Step-by-step explanation:

Urn 1

5 red, 3 blue

Urn 2

7 red, 3 blue

When a marble is selected at random from urn 1,

P(red) =

P(blue) =

When red is drawn p of drawing red from second urn =

Otherwise p of drawing red from second urn=

a)  the probability that the marble drawn from Urn 2 is red

=

b)  the conditional probability that the ball drawn from Urn 1 is red, given that a blue marble is drawn from Urn 2

= prob from urn 2/answer for a

=

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