two fair dice are rolled. the score is the difference between the two dice. some of the possible scores are shown in the table.
c) which score has a probability of occurring 1/18

two fair dice are rolled the score is the difference between the two dice some of the possible scores are shown in the table c which score has a probability of class=

Respuesta :

Answer:

Step-by-step explanation:

a). From the table attached,

   Number in 1st column and 1st row = 1 - 1 = 0

   Number in 1st column and 6th row = 6 - 1 = 5

   Number in 2nd column and 4th row = 4 - 2 = 2

   Number in 5th column and 2nd row = 5 - 2 = 3

   Number in 6th column and 5th row = 6 - 5 = 1

b). Probability of scoring 1 = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]

   Preferred outcomes of getting = 10

   Total outcomes = 36

   Probability of scoring 1 = [tex]\frac{10}{36}[/tex]

                                          = [tex]\frac{5}{18}[/tex]

c). Probability of occurring a score = [tex]\frac{1}{18}[/tex]

                                                         = [tex]\frac{1\times 2}{18\times 2}[/tex]

                                                         = [tex]\frac{2}{36}[/tex]

                                                         = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]

   Since, 5 is a number which has occurred twice

   Score that has a probability of occurring of [tex]\frac{1}{18}[/tex] is 5.

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