simplify (36)^3/2 /(81) ^5/4 × (1024)^3/5 /(125)4/3 × 1/2^5
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If the last digit is 1,3,7,9 in the product then we can only select numbers whose last digit is 1,3,7 or 9 from 0,1,2,
Probability that a selected number ends with 1,3,7 or 9 =
10
4
=
5
2
Probability of selecting four such numbers =(
5
2
)
4
=
625
16
Hence proved.
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