There are 6 balls in a box including 5 black balls and 1 white ball. Also, 1 black ball will be added at 0:09 and then 1 black ball is added every 10 seconds (0:19,0:29,0:39,...,0:59). At 23 seconds, 1 white ball will be added into the box. If it needs to wait 30 seconds after each draw, find the maximum value of the probability to draw the white ball within 1 minute.

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 42E
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There are 6 balls in a box including 5 black balls and 1 white ball.
Also, 1 black ball will be added at 0:09 and then 1 black ball is added
every 10 seconds (0:19,0:29,0:39,...,0:59). At 23 seconds, 1 white
ball will be added into the box. If it needs to wait 30 seconds after
each draw, find the maximum value of the probability to draw the
white ball within 1 minute.
Transcribed Image Text:There are 6 balls in a box including 5 black balls and 1 white ball. Also, 1 black ball will be added at 0:09 and then 1 black ball is added every 10 seconds (0:19,0:29,0:39,...,0:59). At 23 seconds, 1 white ball will be added into the box. If it needs to wait 30 seconds after each draw, find the maximum value of the probability to draw the white ball within 1 minute.
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