No. You need to know each three dice permutation that results in 11 or more.
The "three 1's, 2's or 3's" one is easy.
i dunno how to do this question. could anyone possibly help? thx in advance.
A banker throws three fair, ordinary dice. If the result is a total of 11 points or above, or three "1", or three "2", or three "3", he wins $900. Otherwise he loses $900.
What is his expected gain?
i wonder if there are other methods other than listing out all events.
Hello, littleprince327!
A banker throws three fair, ordinary dice.
If the result is a total of 11 or above, or three 1's, or three 2's, or three 3's, he wins $900.
Otherwise he loses $900.
What is his expected gain?
With three dice, there are possible outcomes.
The totals range from 3 to 18.
Then: .
Also: .
Hence: .
. . and: .
Therefore: .
He can expect to win an average of $25 per game.