When Stephanie plays chess against her favorite computer program, she wins with

Question

When Stephanie plays chess against her favorite computer program, she wins with probability 0.57, loses with probability 0.05, and draws (no winner) with probability 0.38. Assume independence between games. Round all answers to 4 significant figures.

When Stephanie plays chess against her favorite computer program, she wins with probability 0.57, loses with probability 0.05, and draws (no winner) with probability 0.38. Assume independence between games. Round all answers to 4 significant figures. a. Hind the prohahility that Stephanie's first win happens when she plays her fourth game Submit Answ Tries 0f3 b. Hind the prohahility that Stephanie's fifth win happens when she plays her 10th game Submit AnswerTries 0/5 c. Find the probability that Stephanie wins 19 games, if she plays 22 garmes. Submit Answ Trles 0f3 d. Find the probahility that she wins at least 10 games if Stephanie plays 14 games Submit Answer Trles of

Explanation / Answer

a) probability =P( does not win first 3 and wins fourth) =(0.43)3*0.57 =0.0453

b)probability =P( till 9th game 4 wins*5th win in 10th game) =(9C4)(0.57)5(0.43)5 =0.1115

c)probability ==(22C19)(0.57)19(0.43)3 =0.0028

d)probability =x=1014 (14Cx)(0.57)x(0.43)14-x = 0.2078

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