SOLUTION: If one die is weighted so that 3 and 4 are the only numbers that the dice will roll, and 3 comes up three times as often as 4, what is the probability of rolling a 3?

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Question 1089573: If one die is weighted so that 3 and 4 are the only numbers that the dice will roll, and 3 comes up three times as often as 4, what is the probability of rolling a 3?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%5B3%5D%2BP%5B4%5D=1
P%5B3%5D=3%2AP%5B4%5D
Substituting,
3P%5B4%5D%2BP%5B4%5D=1
4P%5B4%5D=1
Solve for P%5B4%5D then solve for P%5B3%5D