Probability

0.67158
9.4

can i get the solution plzz ???

First calculate the possibility of the player getting a point. There are forty good cards for the players (52 - 4 aces - 4 jacks - 4 deuces) so the probability of the player winning on any deal is:

P = (40x39x38) / (52x51x50)

The probility of the house winning is 1-P. You can find out the average number of points the house will get by multiplying the probability the house will get a point by the number of trials (17).

Once you know P, the chance that a player will get exactly N points is

(P)^N * (1-P)^(17-N) * 17! / N! / (1-N)!

The player loses if the number of points is 8 or lower so just compute the first eight terms and add them together. If you don't get Mark's numbers, you did it wrong.

Is the deck shuffled between deals?

Sorry, there is a typo in that last term. It should be (17-N)! instead of (1-N)!