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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

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meerkat18
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 
JeanaShupp

Answer: 31.5%


Step-by-step explanation:

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

Then [tex]P(A)=\frac{number\ of \ white\ balls }{total\ balls}=\frac{5}{13}[/tex]

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

Then [tex]P(B)=\frac{number\ of \ white\ balls }{total\ balls}=\frac{9}{11}[/tex]

Since both the events are independent.

Therefore, the probability that both are white=[tex]P(A)\times P(B)[/tex]

[tex]=\frac{5}{13}\times\frac{9}{11}=\frac{45}{143}[/tex]

In percent,

[tex]\frac{45}{143}\times100=31.46\%\approx31.5\%[/tex]

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