1)if a six sided fair is rolled two times and a 2 shows up both times, the proba
ID: 3048167 • Letter: 1
Question
1)if a six sided fair is rolled two times and a 2 shows up both times, the probability of a 2 on the third trial is?
2) if a and b are independent events with p(a) = 0.2 and p(b) = 0.67, then P(A1B) is?
3) During the first three semesters of studies, 82% of the UT COBI students take BUAD 2040, 60% take BUAD 2060, and 89% take at least one of the two courses. What is the probability that a randomly selected UT COBI student takes both these courses during his/her first three semesters?
4) During the first three semesters of studies, 88% of the UC COBA students take ACCT1, 75% take both ACCT1 and STAT1, and 91% take at least one of the two courses. What is the probability that a randomly selected UC COBA student takes STAT1 during his/her first three semesters?
5)In a recent survey about appliance ownership, 52.3% of the respondents indicated that they own GE, while 27.3% indicated they own both GE and Maytag appliances and 74.5% said they own at least one of the two appliances.
Define the events as
G = Owning a GE appliance
M = Owning a Maytag appliance
What is the probability that a respondent owns a Maytag appliance?
Explanation / Answer
1) as die is fair therefore probability of a 2 on any trail is independent of prior events
therefore probability of a 2 on the third trial is =1/6
2)(please clarify as symbol looks like conditional probability)
P(A|B) =P(A) =0.2 ( being indepdnent)
3) probability that a randomly selected UT COBI student takes both these courses during his/her first three semesters =P(BUAD 2040)+P(BUAD 2060)-P(at least one) =0.82+0.60-0.89=0.53
4)probability that a randomly selected UC COBA student takes STAT1 during his/her first three semesters
=P(both)+P(at least one)-P(ACT1) =0.75+0.91-0.88 =0.78
5)
probability that a respondent owns a Maytag appliance =P(G U M)+P(G n M)-P(G)= 0.745+0.273-0.523=0.495
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