Question

if a 6-sided die is weighted so that you are three times as likely to roll a 1 than any of the the other numbers, what is the probability of rolling a 1?

Answer 1

3/8

Explanation:

You want to know the probability of rolling a 1 on a 6-sided die if that is 3 times as great as rolling any other number.

Fraction

If the probabilities for 1–6 have the ratios ...

3 : 1 : 1 : 1 : 1 : 1

Then the probability of rolling 1 is the fraction 3/(3+1+1+1+1+1) = 3/8.

P(1) = 3/8

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