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ID: 3171329 • Letter: E

Question

e Test M6 Analysis x C Chegg study order conf x C Secure l https//bbaschoolcraft.edu/webapps/assessment/take/aunch.jsp?course assessment id -132345-18tcourse.ide-13348 1&content; Question Completion Status: QUESTION 6 The Dice game of "Pig can be played with the following rules. 1. Roll two six-sided dice. Add the face values together, 2. Choose whether to roll the dice again or pass the dice to your opponent. 3 you you any on turn Those points becom permanent. fyou rol again,ther add your result to your Previous score, you run the risk of losing all points earned since your opponent had rolled. 4 Continue to much once a 1 comes up on either die, your score is reduced to0, leavingyou only with pointthat you have previous Furthermore, you must pass the dice to your opponent. The person to 100 points is the winner. Tohelp with the probabilities and averages in this problem, you may want to write down all the possible outcomes. One w to organize that information would be a chart such as this (notice two example outcomes are given you) 2 4 6 6 2 m 8 Die N2 Rol Let the eventAbe a failed roll (rolling a 1) and the event B is a successful nol (not rolling a 1 Find PIAL rounded to four decimal places.

Explanation / Answer

6)

P(A) = (total no of possibilities with 1) / (total possibilities)

total no of possibilities with 1 = all red blocks = 5+6= 11

total possibilities = 62 = 36

P(A) = 11/36=0.3056

7)

P(B) = 1-P(A) = (1-0.3055) =0.6944

8)

in Successful role possible ot come

mean = (8*5 + 4*(7+9) +3*(6+10)+2*(5+11) +4+12) /25 =8

9)

expected valoe is EQUAL TO MEAN =8

10)

in constutive 2 times we will calculate probability of success

probability of success in continuous 2 times = 25/36*25/36= 0.4822

no no of times tha apear 4,12 1 5,11 2 6,10 3 7,9 4 8 5