An urn contains 2 white, 4 black and 7 yellow balls. Sarah randomly selects two balls without replacement. (a) Find the probability that the two balls selected are (i) of different colors (ii) black knowing that both balls selected were same colors.  (b) State whether the events “two white balls are selected” and “two yellow balls are selected” are mutually exclusive. Provide a reason for your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An urn contains 2 white, 4 black and 7 yellow balls. Sarah randomly selects two balls
without replacement.
(a) Find the probability that the two balls selected are
(i) of different colors
(ii) black knowing that both balls selected were same colors. 
(b) State whether the events “two white balls are selected” and “two yellow balls
are selected” are mutually exclusive. Provide a reason for your answer.

 

##PLEASE PROVIDE THOROUGH EXPLANATION

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