# SOLUTION: Help Please! It has been estimated that with a sophisticated mathematical strategy, a player can increase the probability of winning at black jack to 10/19. If you play with th

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Help Please! It has been estimated that with a sophisticated mathematical strategy, a player can increase the probability of winning at black jack to 10/19. If you play with th      Log On

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 453899: Help Please! It has been estimated that with a sophisticated mathematical strategy, a player can increase the probability of winning at black jack to 10/19. If you play with this strategy, what is the probability that you will win at least 8 games if you play 20? (Use normal approximation) Thank youAnswer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!It has been estimated that with a sophisticated mathematical strategy, a player can increase the probability of winning at black jack to 10/19. If you play with this strategy, what is the probability that you will win at least 8 games if you play 20? (Use normal approximation) ------------ mean = np = 20(10/19) = 10.526 std = sqrt(npq) = sqrt[20(10/19)(9/19)] = 2.233 ---- z(7.5) = (7.5-10.526)/2.233 = -1.355 z(20.5) = (20.5-10.526)/2.233 = 4.467 ======= P(8<= x <=20) = P(-1.355<= z <= 4.467) = 0.9123 =============== Cheers, Stan H.