Answer:
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