A box contains tickets numbered from 1 to 20.Three tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7 is
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a
2/19
b
7/20
c
1 - (7/20)3
d
none of these
answer is D.
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Detailed Solution
Let X denote the largest number on the 3 tickets drawn. Then, P(X≤7)=(7/20)3 and P(X≤6)=(6/20)3. Then, the required probability isP(X=7)=7203−6203