Question

A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5. Find the probability distribution. Outcome 1 2 3 4 5 6 Probability Incorrect: Your answer is incorrect. What is the probability of rolling less than 4?

Answer 1

Answer

The probability distribution outcomes for 1, 2,3,4,5,6 are

Pr(1) =1/12

Pr(2) = 1/4

Pr(3) = 1/12

Pr(4) = 1/4

Pr(5) = 1/12

Pr(6) = 1/4

B) the probability that the outcome is less than four = 5/12

Step by step explanation

Since 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5, the probability of picking either off or even is 1/12 without considering the assignment.

In consideration the assumption, probability of odd numbers will be 1/12 while the probability of picking even numbers will be 3*1/12= 1/4

Pr(1) =1/12

Pr(2) = 3*1/2= 1/4

Pr(3) = 1/12

Pr(4) = 3*1/12 = 1/4

Pr(5) = 1/12

Pr(6) = 3*1/12 = 1/4

B) the probability that the outcome is less than four = Pr(1) + Pr(2) + Pr(3)

= 1/12 +1/4 + 1/12

= 5/12