If a coin were weighted so that heads had three times the chance [P(H)] of coming up as tails [P(T)],the probability distribution would be given by:
A) P(H) = 0.67 and P(T) = 0.33.
B) P(H) = 1 and P(T) = 3.
C) P(H) = 0.5 and P(T) = 0.5.
D) P(H) = 0.75 and P(T) = 0.25.
E) P(H) = 1 and P(T) = 0.33.

Question

Quizplus · Accepted Answer

Since the weighted coin has three times the chance of landing on heads than tails, we can set up the equation P(H) = 3P(T). We also know that the sum of the probabilities of all possible outcomes must be 1, so P(H) + P(T) = 1. Solving these two equations, we get P(H) = 0.75 and P(T) = 0.25, which is option D.

If a Coin Were Weighted So That Heads Had Three