Answer the following questions related to the use of complements in probability.
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
Answer the following questions related to the use of complements in probability.
(i) Define the complement of an event and state its basic probability property.
(ii) Explain, with reasoning, why the probability of an event of the type “at least one occurrence” is often calculated by subtracting the probability of “no occurrence” from 1.
(iii) Consider the experiment of throwing two fair dice six times. Without carrying out detailed numerical calculations, outline the steps you would follow to compute the probability that at least one double six appears in the six throws.