Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Answer:

No, choosing a blue marble does not represent the complement event of choosing a red marble. The complement of choosing a red marble is choosing any marble that is not red (which includes both blue and purple marbles). Since there are purple marbles, the probability of red (1/5) and blue (2/5) does not sum to 1, as required for complementary events.