Y by Adventure10 and 1 other user
Two ducks, Wat and Q, are taking a math test with
other ducklings. The test has
questions, and the
th question is worth
points. The ducks work independently on the test. Wat gets the
th problem correct with probability
while Q gets the
th problem correct with probability
. Unfortunately, the remaining ducklings each answer all
questions incorrectly.
Just before turning in their test, the ducks and ducklings decide to share answers! On any question which Wat and Q have the same answer, the ducklings change their answers to agree with them. After this process, what is the expected value of the sum of all
scores?
Proposed by Evan Chen









Just before turning in their test, the ducks and ducklings decide to share answers! On any question which Wat and Q have the same answer, the ducklings change their answers to agree with them. After this process, what is the expected value of the sum of all

Proposed by Evan Chen