Mathematics: 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

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Two fair dice are rolled. the score is the difference

Hailey1313131313

10.02.2022

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 = $\frac{\text{Preferred outcome}}{\text{Total outcomes}}$

Preferred outcomes of getting = 10

Total outcomes = 36

Probability of scoring 1 = $\frac{10}{36}$

= $\frac{5}{18}$

c). Probability of occurring a score = $\frac{1}{18}$

= $\frac{1\times 2}{18\times 2}$

= $\frac{2}{36}$

= $\frac{\text{Preferred outcome}}{\text{Total outcomes}}$

Since, 5 is a number which has occurred twice

Score that has a probability of occurring of $\frac{1}{18}$ is 5.

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