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03 Nov 2025, 04:05
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filippocarta01
So,
First blueprint we know that Probability of something is P(A)= Favourable/Total right.
Now, here they ask from 1,2,3,4,5 we need 2 intgers pairs that give product >10
So assume first how many total pair we can made.....
Ex:- (1,1) (1,2) (1,3) (1,4) (1,5) we do this fluff till 5 so total 25 ok
Now >10 which come (3,4),(3,5),(4,3),(4,4),(4,5),(5,3),(5,4) and (5,5) Total Favorable 8
Proability = 8/25
03 Nov 2025, 04:52
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filippocarta01
If x and y are each randomly chosen from the integers 1, 2, 3, 4, and 5, what is the probability that the product xy will be greater than 10 ?
x = {1,2,3,4,5}
y = {1,2,3,4,5}
xy = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 20, 25}
Total cases of chosing x & y = 5*5 = 25
Favorable cases = {(3,4),(4,3),(3,5),(5,3),(4,4),(4,5),(5,4),(5,5)} = 8
If x and y are each randomly chosen from the integers 1, 2, 3, 4, and 5, the probability that the product xy will be greater than 10 = 8/25
IMO D
If x and y are each randomly chosen from the integers 1, 2, 3, 4, and 5, what is the probability that the product xy will be greater than 10 ?
x = {1,2,3,4,5}
y = {1,2,3,4,5}
xy = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 20, 25}
Total cases of chosing x & y = 5*5 = 25
Favorable cases = {(3,4),(4,3),(3,5),(5,3),(4,4),(4,5),(5,4),(5,5)} = 8
If x and y are each randomly chosen from the integers 1, 2, 3, 4, and 5, the probability that the product xy will be greater than 10 = 8/25
IMO D
07 Dec 2025, 20:31
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Can be solved by fixing the first digit of the 2 no. (given product >10 ) to proceed we fix the first no. as 3 then 2nd no. has to be 4 or 5 so probability of this will be 1/3 * 2/5 = 2/25,
Now there can be another case of first no. being 4 then 2nd no. can be 3, 4, 5 so probability of this will be 1/3 * 3/5 = 3/25,
Now there can be another case of first no. being 5 then 2nd no. can be 3, 4, 5 so probability of this will be 1/3 * 3/5 = 3/25,
Therefore the overall probability is 2/25 + 3/25 + 3/25 = 8/25
Now there can be another case of first no. being 4 then 2nd no. can be 3, 4, 5 so probability of this will be 1/3 * 3/5 = 3/25,
Now there can be another case of first no. being 5 then 2nd no. can be 3, 4, 5 so probability of this will be 1/3 * 3/5 = 3/25,
Therefore the overall probability is 2/25 + 3/25 + 3/25 = 8/25
filippocarta01
