Correct solutions came from Bradley University community members Rachael Koterla, Luke Nelson. Other correct solutions were submitted by Iñigo Picaza, Lisa Schechner, Paul Botham, Paul Lee, Juan Carlos Marivela, Dan Dima, Lou Cairoli, Aaron Kahn.
To match exactly 3 numbers, you must agree with the house on 3
of the 28 they chose, and also agree with 25 of the 52 they didn't choose.
The probability of exactly 3 matches is
.
The probability of no win is then
or about
1.54%.
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