1-5 Suppose two students are enrolled in a class. The sample space of all outcom
ID: 3370306 • Letter: 1
Question
1-5 Suppose two students are enrolled in a class. The sample space of all outcomes of the students for the problem where M-Male, F- female is S (MM, MF, FM, FF 1. What is the event (B) that they are of the same sex? What is the event (D) that there is at least one female student enrolled? (a) (MF, MM, FM (b) (MF, FM, FF) (c) IMM, FF) (d) (FF 2. What is the event that the two students are of the same sex or they are at least one female? (a) (MF, MM, FM) (b) (MF, FM, FF (c)MM, MF, FM, FF) (d) (MM, FF 3. 4. What is the event that the two students are at least one female and of same sex? (a) (MF, MM, FM (b) (MF, FM, FF) (c) (MM, FF) (d) (FF) 5 What is the event that the two students are of different sexes given that the first is a female student? (a) (MF, FM) (b) FM, FF) (c) (FM) (d) (FF)Explanation / Answer
1) Same sex so either both Males or Females
d) { MM, FF }
2) Atleast one female so one F has to be there
b) { MF, FM , FF}
3)
c) { MM , MF , FM , FF }
4) Atleast 1 female and of same sex so only 1 possibility
d) { FF}
5. Giiven that the first is female {F_} and different sexes to the other one would be a male
c) { FM }
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