Test

The teacher prepared a test with ten questions. The student has the option to choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that:

a) He answers half correctly.
b) He answers all correctly.
c) He does not answer either one answer correctly.

Correct result:

a =  0.0584
b =  0
c =  0.0563

Solution:

C5(10)=(105)=10!5!(105)!=10987654321=252 p=1/4=14=0.25 q=1p=10.25=34=0.75 n=10 n1=n/2=10/2=5 a=(nn1) pn1 qnn1=252 0.255 0.75105=0.0584
C10(10)=(1010)=10!10!(1010)!=11=1 b=(nn) pn qnn=1 0.2510 0.751010=0
C0(10)=(100)=10!0!(100)!=11=1 c=(n0) p0 qn0=1 0.250 0.75100=0.0563



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