The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?

The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once? Correct Answer 5/21

If the probability of rolling a particular number is related to that number, then in 21( = 1 + 2 + 3 + 4 + 5 + 6) rollls, we'll have the following roll a '1' once, a '2' twice, a '3' thrice etc. Then th probability of those number is p(1) = 1/21 p(2) = 2/21 p(3) = 3/21 p(4) = 4/21 p(5) = 5/21 p(6) = 6/21 ∴ The probability of getting 5, if the die is rolled only once is 521