Two non-negative integers are chosen at random from the set of non-negative integers with replacement. The probability that the sum of their squares is divisible by 10 is
A
7/100
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B
6/50
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C
9/50
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D
12/50
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Solution
The correct option is A7/100
Hello student, Please find the answer to your question below Given Two non negative integers are chosen at random. Let the 2 non negative integers be a,b then 0<=a,b<=9 Number of ways =10*10=100 The probability that their sum of their square is divisible by 10 is=(1,3),(2,6),(7,1),(4,8),(3,9),(2,4),(5,5) are 7