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The probability that you will be ticketed for illegal parking on campus is about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person). Today, on the 10th day, you again decide to park illegally. Assuming the outcomes are independent from day to day, the probability that you will be caught is
1/3
Event A occurs with probability 0.2 . Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive), then
P(A or B)= 1.0
(Add their probabilities, equaling to one. Then subtract the probabilities both will occur. Because they are mutually exclusive, this will be zero.)
If P(A)=0.24 and P(B)= 0.52 and A and B are independent, what is P(A or B)?
0.6352
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.24 + 0.52 - P(A and B)
Because they are independent, P(A and B) will just be P(A) times P(B)
P(A or B) = 0.24 + 0.52 - 0.1258
P(A or B) = 0.6352
People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
(a) 0.526
(b) 0.72
(c) 0.28
(d) 0
(e) 1
0.526
1 - P(none)^10
Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. Diabetes caused 2.8% of deaths among whites, 4.4% among black, and 3.5% among Asians. The probability that a randomly chosen death was due to diabetes is about
0.030
(0.86x0.028) + (0.12x.044) + (0.02x0.035)
In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from the drawer (without replacement, of course!). What is the probability that the two socks match?
0.500
[(6/16) x (5/15)] + [(10/16) x (9/15)]
If A∪B = S (sample space), P(A and Bc) = 0.25, and P(Ac) = 0.35, then P(B)
0.75
You play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is
(a) 0.16
(b) 0.36
(c) 0.4
(d) 0.6
(e) 1.2
(b) 0.36
The probability of any outcome of a random phenomenon is
(a) The precise degree of randomness present in the phenomenon
(b) Any number as long as it is between 0 and 1
(c) Either 0 or 1, depending on whether or not the phenomenon can actually occur or not
(d) The proportion of an infinite number of repetitions on which the outcome occurs
(e) None of the above
(d) The proportion of an infinite number of repetitions on which the outcome occurs