SOLUTION: A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from a deck of 52 ca rdto. If the ball is white, a card i

Question 252130: A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from a deck of 52 ca rdto. If the ball is white, a card is drawn from the deck consisting of just the 16 pictures. (a) What is the probability of drawing a. king? (b) What is the probability of a white ball was selected given that a king was drawn?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from a deck of 52 ca rdto. If the ball is white, a card is drawn from the deck consisting of just the 16 pictures.


I don't get the "deck consisting of just the 16 pictures" since there are
only 12 picture cards (Jack, Queen and King of the 4 suits) in a standard deck
of 52. Perhaps this problem considers Aces to be picture cards. But I will
assume there are 16 picture cards anyway)

(a) What is the probability of drawing a king?


P(green)=
P(white)=
P(king from deck of 52)=
P(king from 16 picture-card deck)=
P(green and king) = =
P(white and king) = =
P(king) = P(G&K OR W&K) = 
= , about 18% of the time.

(b) What is the probability of a white ball was selected given that a king was drawn?





or about 83% of the time.



Edwin 

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