Question

two urns contain white balls and yellow balls. the first urn contains 5 white balls and 8 yellow balls and the second urn contains 9 white balls and 2 yellow balls. a ball drawn at random from each urn. what is the probability that both are white

Answer 1

So the question is asking to calculate the probability that both are white, and base on my own calculation and further computation, I would say that the probability would be 31.5%. I hope you are satisfied with my answer and feel free to ask for more if you ask for more 

Answer 2

Answer: 31.5%

Explanation:

Let A be the event that a ball is drawn from the first urn is white

Then
`P(A)=(number\ of \ white\ balls )/(total\ balls)=(5)/(13)`

Let B be the event that a ball is drawn from the second urn is white

Then
`P(B)=(number\ of \ white\ balls )/(total\ balls)=(9)/(11)`

Since both the events are independent.

Therefore, the probability that both are white=
`P(A)* P(B)`

`=(5)/(13)*(9)/(11)=(45)/(143)`

In percent,

`(45)/(143)*100=31.46\%\approx31.5\%`