Answer:
0.7
Step-by-step explanation:
The Probability of Chips in Urn 1
P(R) = 3/4
P(W) = 1/4
The Probability of Chips in Urn 2
P(R) = 1/2
P(W) = 1/2
The problem can be solved using probability tree method. The probability tree of the given question is attached with the answer.
The Probability tree shows the exchange of chips firstly and then the final probability of Red Chips and White Chips in Urn 1.
To find the final answer we can sum up the probabilities of the branches which are ticked in the diagram.
Probability of Branch 1 (ticked in diagram)
3/4 x 3/5 x 3/4 = 0.3375
Probability of Branch 2 (ticked in diagram)
3/4 x 2/5 x 2/4 = 0.15
Probability of Branch 3 (ticked in diagram)
1/4 x 2/5 x 1 = 0.1
Probability of Branch 4 (ticked in diagram)
1/4 x 3/5 x 3/4 = 0.1125
Final Probability = 0.3375 + 0.15 + 0.1 + 0.1125
= 0.7 Answer
