An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.3, and P(E₃) = 0.4.The probability of P(E₄) is: A)0.50 B)0.90 C)0.02 D)0.10 E)none of the above

Question

Quizplus · Accepted Answer

The probabilities of all outcomes in an experiment must sum to 1. Given P(E₁) = 0.2, P(E₂) = 0.3, and P(E₃) = 0.4, the total probability for these three outcomes is 0.2 + 0.3 + 0.4 = 0.9. Therefore, the probability of the fourth outcome, P(E₄), must be 1 - 0.9 = 0.1 to ensure the total probability sums to 1.

An Experiment Consists of Four Outcomes with P(E1) = 0

An Experiment Consists of Four Outcomes with P(E₁) = 0