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100 students appeared in 2 tests.60 students passed 1st test. 40 students passed in the 2nd test. 20 students passed in both 1 and 2 tests. what is the probability of the students who failed in both tests?
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- 20 student passed both two test
40 student passed only 1st test
20 student passed only 2nd test
so 100-(20+40+20)=20 student failed in both sub
so ans is 20% - 10 years agoHelpfull: Yes(13) No(4)
- P(A*&B*)=1-p(A or B)=1-(0.4+0.6-0.2)=0.2
- 10 years agoHelpfull: Yes(4) No(0)
- p(test1) = 60/100
p(test2)= 40/100
probability of students passed in both test (ie) p(test1 n test2)= 20/100=2/10
they asked, probability of students failed in both tests so
=1 - p(test1 n test2)
=1-(2/10)=8/10=4/5.. - 10 years agoHelpfull: Yes(2) No(4)
- total students failed in both= 100-(60+40-20)
=20
required probability=.2 - 10 years agoHelpfull: Yes(1) No(0)
- Total student is 100 =n(AUB)
60 students passed in 1st test=n(A)
40 students passed in 2nd test=n(B)
20 students passed both 2 tests=n(AUB)
n(AUB)=n(A)+n(B)-n(A intersection B)
100-20=60+40-n(A intersection B)
80=100-n(A intersection B)
n(A intersection B)=100-80
n(A intersection B)=20///
20 students are failed in both test
- 10 years agoHelpfull: Yes(1) No(1)
- P(A*&B*)=1-p(A or B)=1-(0.4+0.2-0.2)=39/40
Use Venn diagram.....
Here * means "not" - 10 years agoHelpfull: Yes(0) No(1)
- ans is 20/100=1/5=0.2
- 10 years agoHelpfull: Yes(0) No(0)
- only passed in t1=40 ,not passed in t1=40
only passed in t2=20,not passed in t2=60
passed in both =20
so max no of student who failed in both will be =40
so prob=40/100=.4 - 10 years agoHelpfull: Yes(0) No(0)
- 1/5 as no. of student faild in both the subject is equal to 20(100-(40+20)).
- 10 years agoHelpfull: Yes(0) No(0)
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