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Question

Let n positive integers taken randomly & multiplied together.Let A1, A2, A3, A4,A5, A6, A7, be the events define as
A1 = last digit of the product is not the number 1,3,7 or9
A2 = last digit of the product is among the number 1,3,5,7 or 9,
A3 = last digit of the product is among the number 1,3,7 or9
A4 = last digit of lhe product 'is among the number 2,4,6 or 8.
A5 = last digit of the product is the number 5.
A6 = last digit of the product is the number 0
A7 = last digit of the product is 1,2,3,4,6,7,8 or9.On the basis of above information answer the following questions.
Then what is the probability that last digit of the product is A1.?

A
(12)n
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B
(25)n
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C
(35)n
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D
(45)n
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Solution

The correct option is B (35)n
Now, A1= last digit in the product is not among the number 1,3,7 or 9 then it must be among 0,2,4,5,6 or 8.
It is possible only when digits taken are either 0 or 2 or 4 or 5or 6 or 8
n(A1)=6nn(S)=10nP=6n10n=3n5n

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