Illustration 16.81. Two packs of cards are made up in such a way that the first pack consists of 39 red cards and 13 black cards, second pack consists of 39 black cards and 13 red cards. A sampling expe- riment is carried out in the following ways : A card is drawn from the first pack, if it is red, a second card is drawn from the same pack after replacing the first red card. The colour of the second card drawn from the first pack is noted. If the first card drawn from the first pack is black, then the second card is drawn from the second pack and the colour of the second card is noted. Both the cards are then replaced in their respective packs. What is the probability that the second card is red?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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llustration 16.81. Two packs of cards are made up in such a way
that the first pack consists of 39 red cards and 13 black cards, second
pack consists of 39 black cards and 13 red cards. A sampling expe-
riment is carried out in the following ways : A card is drawn from the
first pack, if it is red, a second card is drawn from the same pack after
replacing the first red card. The colour of the second card drawn from
the first pack is noted. If the first card drawn from the first pack is
black, then the second card is drawn from the second pack and the
colour of the second card is noted. Both the cards are then replaced in
their respective packs. What is the probability that the second card is
red?
Transcribed Image Text:llustration 16.81. Two packs of cards are made up in such a way that the first pack consists of 39 red cards and 13 black cards, second pack consists of 39 black cards and 13 red cards. A sampling expe- riment is carried out in the following ways : A card is drawn from the first pack, if it is red, a second card is drawn from the same pack after replacing the first red card. The colour of the second card drawn from the first pack is noted. If the first card drawn from the first pack is black, then the second card is drawn from the second pack and the colour of the second card is noted. Both the cards are then replaced in their respective packs. What is the probability that the second card is red?
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