Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coin is flipped once. If it shows a head, the game continues by throwing die A; if it shows tail, then die B is to be used. If the probability that die A is used is 32/33 when it is given that red turns up every time in first n throws, then find the value of n.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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Die A has 4 red and 2 white faces, whereas die B has 2 red and
4 white faces. A coin is flipped once. If it shows a head, the
game continues by throwing die A; if it shows tail, then die B
is to be used. If the probability that die A is used is 32/33 when
it is given that red turns up every time in first n throws, then
find the value of n.
Transcribed Image Text:Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coin is flipped once. If it shows a head, the game continues by throwing die A; if it shows tail, then die B is to be used. If the probability that die A is used is 32/33 when it is given that red turns up every time in first n throws, then find the value of n.
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