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mari0869
26.08.2019 •
Mathematics
Aweb ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. a specific design is randomly generated by the web server when you visit the site. if you visit the site five times, what is the probability that you will not see the same design?
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Ответ:
The probability that you will NOT see the same design twice when you enter the page five times is 0.99999
Step-by-step explanation:
Be,
n1: # of different colors = 4.
n2: # from different sources = 3.
n3: # of different font sizes = 5.
n4: # of different images = 3.
n5: # of different text phrases = 5.
The total number of different designs that can be created is given by:
NT = n1 * n2 * n3 * n4 * n5 = 4 * 3 * 5 * 3 * 5 = 900.
The probability of seeing a specific design is 1/900.
If the page is reviewed 5 times, the probability of hitting the same design twice is given by:
(5C2) [(1/900) ^ 2] [(1-1 / 900) ^ 3] = (10) [(1/900) ^ 2] [(899/900) ^ 3]. Then the probability of NOT seeing the same design twice is:
1- (10) [(1/900) ^ 2] [(899/900) ^ 3] = 0.99999.
The probability that you will NOT see the same design twice when you enter the page five times is 0.99999
Ответ:
If it takes him 90 minutes to read 5 and a half chapters, it would take him 16.36 minutes to read one chapter.