MHT CET 2025 Mathematics question
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
Answer: (C)
Solution
There are 100 numbers. Digit product 24 happens for 38, 83, 46, 64 (3×8 and 4×6 in either order), so 4 favourable numbers: , . The number of times E occurs in 4 selections is binomial with .
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