Mathematics: For this problem, involving a weighted die, assume that the outcomes 1 through 4 are equally likely, that the outcomes 5 through 6 are equally likely, and that outcome 1 is 3 times as likely as outcome 5. (1) what probability should be assigned to rolling a 4? (2) what probability should be assigned to rolling a 6?

For this problem, involving a weighted die, assume

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05.01.2022

a. $\frac{3}{14}$

b. $\frac{1}{14}$

Step-by-step explanation:

We are given that a die is rolled

Let x bet the cases in favor of 5.

Number of cases in favor of 6=x

Then according to question

Number of cases in favor of 1=3x

Number of cases in favor of 2=3x

Number of cases in favor of 3=3x

Number of cases in favor of 4=3x

Sum of total cases= x+x+3x+3x+3x+3x=14x

Probability of getting 5 = $\frac{x}{14x}=\frac{1}{14}$

Probability of getting 1= $\frac{3x}{14x}=\frac{3}{14}$

1.We have to find probability should be assigned to rolling a 4.

The probability of getting = $\frac{3}{14}$

2.We have to find the probability of rolling 6.

The probability of getting 6= $\frac{1}{14}$

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