Q:

Which situation describes DEPENDENT events? A) A student is chosen from Classroom A, then that student flips a coin. B) One student is chosen from Classroom A, then a student is chosen from Classroom B. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) A student is chosen from Classroom A, then that student chooses a card from a standard 52-card deck.

Accepted Solution

A:
Answer:The correct option is C.Step-by-step explanation:we have to choose the situation which describes dependent events.Two events are said to be dependent if the outcome or occurrence of the one affects the outcome or occurrence of the other so that the probability is changed. Option A: A student is chosen from Classroom A, then that student flips a coin.In the above situation, occurrence of one does not affects the other one which implies not a dependent events.Option B: One student is chosen from Classroom A, then a student is chosen from Classroom B. Any student can be chosen from both the classrooms i.e does not affect implies independent events.Option C: One student is chosen from Classroom A, then a second student is chosen from Classroom A.Now, here both the students chosen from same class when one student selected then for the second student selection total number of outcomes or favorable cases decreased.Hence, dependent event.Option D: A student is chosen from Classroom A, then that student chooses a card from a standard 52-card deck.Any student can be chosen from the classroom then any card chosen from deck of 52 cards implies independent events.