JEE Advance - Mathematics (1993 - No. 4)
Numbers are selected at random, one at a time, from the two- digit numbers $$00, 01, 02 ......, 99$$ with replacement. An event $$E$$ occurs if only if the product of the two digits of a selected number is $$18$$. If four numbers are selected, find probability that the event $$E$$ occurs at least $$3$$ times.
{{97} \over {{{\left( {100} \right)}^4}}}
{{12} \over {{{\left( {100} \right)}^4}}}
{{97} \over {{{\left( {50} \right)}^4}}}
{{97} \over {{{\left( {25} \right)}^4}}}
{{1} \over {{{\left( {100} \right)}^4}}}
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