Question

MAT 115 StatisticsWhich of the following probabilities for the sample points A, B, and C could be true if A, B, and C are the only sample points in an experiment?Explain why each of the other 3 answers are wrong.1) P(A) = 5/10, P(B) = 2/10, P(C) = 1/102) P(A) = 0, P(B) = 1/2, P(C) = 1/23) P(A) = 1/5, P(B) = 1/6, P(C) = 1/34) P(A) = -1/10, P(B) = 1/2, P(C) = 6/10

Answer 1

The addition of the 3 probabilities must be equal to 1.

1) P(A) + P(B) + P(C) = 5/10 + 2/10 + 1/10 = 4/5 ≠ 1

2) P(A) + P(B) + P(C) = 0 + 1/2 + 1/2 = 1

3) P(A) + P(B) + P(C) = 1/5+ 1/6 + 1/3 = 7/10 ≠ 1

4) a probability can't be negative

Then, the correct option is option 2