MHT CET · Maths · Probability
Numbers are selected at random, one at a time from the two-digit numbers \(00,01,02\), -------, 99 with replacement. An event E occurs only if the product of the two digits of a selected number is 24 . If four numbers are selected, then probability, that the event E occurs at least 3 times, is
- A \(\frac{24}{(25)^4}\)
- B \(\frac{4}{(25)^4}\)
- C \(\frac{97}{(25)^4}\)
- D \(\frac{96}{(25)^4}\)
Answer & Solution
Correct Answer
(C) \(\frac{97}{(25)^4}\)
Step-by-step Solution
Detailed explanation
Numbers with product of digits 24: \(38, 46, 64, 83\). Probability \(p\) of event E: \(p = \frac{4}{100} = \frac{1}{25}\).
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