Question

Example : probability of student success in the course of statistics 80%

Find the probability of student failure in the course of statistics ?

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Example : if the probability of hitting a target is 0.6

What is the probability of not hitting ?

Answer 1

Let the event of the success of the student be denoted by A. Then the event of the failure of the student is A^C

By the law of complementary events, we know

P(A)+P(A^C)=1

Given that, P(A)=0.8

P(A^C)=1-0.8=0.2

Hence the probability of the failure of the student in the course of statistics be 0.2 i.e. 20%

Let the event of hitting the target be denoted by A. Then the event of not hitting the target is A^C

By the law of complementary events, we know

P(A)+P(A^C)=1

Given that, P(A)=0.6

P(A^C)=1-0.8=0.4

Hence the probability of not hitting the target is 0.4

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