1) If A = (2, 4, 6, 8, 10, 12, 14, 16) and B=(3, 6, 9, 12, 15), find n(An B). A) 0 B) 2 C) 8 D) 11 2) Which of the following is NOT a true statement? A) If the probability of an event is closer to 0, then the event is more likely to happen. B) The probability that an event will happen is from 0 to 1. C) The probability of an impossible event is 0. D) The probability of a certain event is 1. 3) Which of the following is a compound event? A) Getting at least two heads when tossing a coin thrice. B) Choosing a female student from a class. C) Three turning up in rolling die once. D) Picking a dress in the closet.
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Answer:
1) We have:
A = {2, 4, 6, 8, 10, 12, 14, 16}
B = {3, 6, 9, 12, 15}
n(A ∩ B) represents the number of elements that are common to both sets A and B.
We can see that the only common element between A and B is 6.
Therefore, n(A ∩ B) = 1.
The answer is not one of the choices given. The correct answer is 1.
2) The statement "If the probability of an event is closer to 0, then the event is more likely to happen" is not true. In fact, the opposite is true: if the probability of an event is closer to 1, then the event is more likely to happen.
Therefore, the answer is A.
3) A compound event is an event that consists of two or more simple events.
A) Getting at least two heads when tossing a coin thrice is a compound event, since it consists of three simple events (getting a head or a tail on each toss).
B) Choosing a female student from a class is a simple event, since there are no sub-events involved.
C) Three turning up in rolling die once is a simple event, since there are no sub-events involved.
D) Picking a dress in the closet is a simple event, since there are no sub-events involved.
Therefore, the answer is A.