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12 votes
12 votes
There are 16 students in your Spanish class your teacher randomly chooses one student at a time to take an herbal exam what is the probability you are not one of the first four students chosenThe probability that you are not one of the first first student chosen is...Ps. The correct answer is 3/4 but can someone tell me howby the way this is 100 points

User Paul Fournel
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1 Answer

17 votes
17 votes

Given data:

The given numbers of students are n=16.

The expression for the probability that you are not one of the first four students chosen is,


\begin{gathered} P(x)=(1-(1)/(16))(1-(1)/(15))(1-(1)/(14))(1-(1)/(13)) \\ =(15)/(16)*(14)/(15)*(13)/(14)*(12)/(13) \\ =(12)/(16) \\ =(3)/(4) \end{gathered}

Thus, the probability that you are not one of the first four students chosen is 3/4.

User Jonas Bylov
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