The probability that your homework is on disc i is 12.25%.
Given that the disc containing the only copy of your homework just got corrupted, and the disk got mixed up with two other corrupted discs that were lying around, and it is equally likely that any of the three discs holds the corrupted remains of your homework, and your computer expert friend offers to have a look at one of the discs, and you know from past experience that his probability of finding your homework from a disc is 0. 35, given that the homework is in there, given that he searches on disc 1 but cannot find your homework, to determine what is the probability that your homework is on disc i, for i = 1, 2, 3, the following calculation must be performed:
Therefore, the probability that your homework is on disc i is 12.25%.
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The probability that your homework is on disc i = 12.25 %
Given data :
Probability of finding homework on a disc ( p ) = 0.35
number of disks ( i ) = 1,2,3
To determine the probability of disc i containing your homework we will apply the calculation below
P( Disc i ) = p * p
where : p = probability of finding homework on a disc
Therefore : P ( Disc i ) = 0.35 * 0.35
= 0.1225
= 12.25%
Hence we can conclude that,the probability of your homework been on disc i is : 12.25%.
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