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Q.

A positive integer that reads the same backwards and forwards is called a palindrome. A number greater than 10 and less than  106  is choosen at random. If it is known that it is a five digit number and the probability that it is a palindrome is P, then the value of 300 P is equal to.

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answer is 3.

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Detailed Solution

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Let A be the even of choosing 5-digit no. and B be the event the number is  palindrome (abcba)

∴n(A)=9(104)  = 90000 And  n(A∩B)=9×102=900 P(EA)=n(E∩A)n(A)=1100=P

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