Die A has five faces, and die B has six faces. Both dice are rolled together and

Question

Die A has five faces, and die B has six faces. Both dice are rolled together and the number of dots facing up on each die are recorded For this experiment, answer each of the following questions. DO/SHOW ALL RELEVANT WORK in the respective work space, and then write the result where indicated. (a) The possible sums of the dots, together with their corresponding counts are: (b) The median, and standard deviation of the data set formed by these sums are: (c) If B is considered the first die, then the probability that the second die shows more dots equals _____ (d) If A is considered the first die, then the probability that the second die shows more dots equals _____ (e) The probability that the two dice show unequal numbers of dots equals _____

Explanation / Answer

from above:

hence median =(n+1)/2 th value =15.5th value =(6+7)/2 =6.5

average =6.5

std deviation=(47.167-6.52)1/2 =2.2174

c)probabilty =10/30=1/3

d) =15/30=3/6 =1/2

e)=25/30=5/6

A B Sum 1 1 2 1 2 3 1 3 4 1 4 5 1 5 6 1 6 7 2 1 3 2 2 4 2 3 5 2 4 6 2 5 7 2 6 8 3 1 4 3 2 5 3 3 6 3 4 7 3 5 8 3 6 9 4 1 5 4 2 6 4 3 7 4 4 8 4 5 9 4 6 10 5 1 6 5 2 7 5 3 8 5 4 9 5 5 10 5 6 11

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