Question

In: Math

We are given 3 urns as follows: Urn A contains 3 red and 5 white marbles,...

We are given 3 urns as follows: Urn A contains 3 red and 5 white marbles, Urn B contains 2 red and one white marble, Urn C contains 2 red and 3 white marbles. Construct the probability tree. Suppose that a urn is randomly selected and a marble is drawn from the selected urn. If the marble is red what is the probability that it came from urn A?

Expert Solution

Solution:

Given:

Urn A: 3 Red + 5 White = 8 Marbles

Urn B: 2 Red + 1 White = 3 Marbles

Urn C: 2 Red + 3 White = 5 Marbles

Part a) Construct the probability tree.

Part b) Suppose that a urn is randomly selected and a marble is drawn from the selected urn. If the marble is red what is the probability that it came from urn A?

That is find:

P( A | Red ) = ............?

Using Baye's rule of probability:

Thus the probability that marble came from urn A given that it is a Red marble =

milcah answered 1 year ago

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