SOLUTION: 11. Suppose you have a jar with 14 red marbles and 26 black marbles. You randomly select a marble from the jar without replacement. If the marble is red, then you add 7 yellow marb
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-> SOLUTION: 11. Suppose you have a jar with 14 red marbles and 26 black marbles. You randomly select a marble from the jar without replacement. If the marble is red, then you add 7 yellow marb
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Question 865827: 11. Suppose you have a jar with 14 red marbles and 26 black marbles. You randomly select a marble from the jar without replacement. If the marble is red, then you add 7 yellow marbles to the jar and randomly select another marble from the jar. If the first marble is black, then you add 13 blue marbles to the jar and randomly select another marble from the jar. Determine the probability of the following. (Enter each probability as a fraction.)
(a) the second marble is a black marble, given that the first marble was a red marble
(b) the second marble is a red marble, given that the first marble was a black marble
(c) the second marble is a yellow marble
(d) the second marble is a blue marble
12. Two cards are randomly chosen from an ordinary deck of 52 cards, without replacement. Determine the probability of each event. (Enter each probability as a fraction.)
(a) The first card is a face card.
(b) The second card is a face card, given the first card is an ace.
13. Given that P(A) = 0.3, P(B) = 0.4, and A and B are independent events, compute each probability.
(a) P(A and B) = __________
