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Solve them all
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1. A fair die is rolled 12 times. Consider the following three possible outcomes:
(i) 2 2 2 2 2 2 2 2 2 2 2 2
(ii) 1 1 2 2 3 3 4 4 5 5 6 6
(iii) 4 6 2 1 3 5 2 6 4 3 1 5
Which of the following is true? It is absolutely impossible to get sequence.
A. (i). (ii) is more likely than (i).
B. (iii) is more likely than (i) or (ii).
C. The three outcomes are equally likely.
D. Both (B) and (C) are true.
2. A fair die is rolled 12 times. Consider the following three possible outcomes:
(i)
222222222222
(ii)
112233445566
(iii)
462135264315
Which of the following is true? It is absolutely impossible to get sequence.
A. (i). (ii) is more likely than (i).
B. is more likely than (i) or (ii).
C. The three outcomes are equally likely.
D. Both (B) and (C) are true.
3. In a large population, 5% of the females have had a kidney stone. Suppose a medical
researcher randomly selects two females. Let X represent the event -The first female
has had a kidney stone. Let Y represent the event the second female has had a kidney
stone Which of the following is true about the two events?
A. X and Y are independent.
B. X and Y are disjoint.
C. None of the above are true.
D. Both (A) and (B) are true.
4. According to the information that comes with a certain prescription drug, when taking this
drug, there is a 20% chance of experiencing nausea (N) and a 50% chance of
experiencing decreased sexual drive (D). The information also states that there is a 15%
chance of experiencing both side effects. What is the probability of experiencing nausea
or a decrease in sexual drive?
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