Considering randomly selecting a student at Dal-AC, and let A be the event that

Question

Considering randomly selecting a student at Dal-AC, and let A be the event that the selected individual has a Visa card and B be the analogous event that for a Master card. Suppose that P(A) = 0.4, P(B) = 0.3, P(A intersection B) = 0.05. In each question below, draw a corresponding Venn diagram. Compute the probability that a randomly selected student at Dal-AC has at least one of the two credit cards. What is the probability that a randomly selected student has neither type of the two credit cards? Describe, in terms of A (denoting having a Visa card) and B (denoting having a Master card), the selected student has a Visa card but not a Master card, and then calculate its probability.

Explanation / Answer

1. p( atleast one card) = 0.65

2. p( neither two card) = 0.35

3. p( having a visa card but not master card) = 0.35

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