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Sagot :
The probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
According to the given question.
Number of times a kinfe is thrown = 20
Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.
so,
p = 1/20
q = 1 - 1/20 = 19/20
Therefore,
The probability that knife will hit assiant exactly 3 out of 20 times
[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]
= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]
=
Hence, the probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
Find out more information about probability here:
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