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Triss [41]
3 years ago
12

A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that th

e committee will consist of at least one student.​
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

99.96%

Step-by-step explanation:

Given the information:

  • 5 teachers
  • 20 students
  • 4 people in committee

=> the are 25 people in total

Hence, the total possible outcomes of all the members in the 4 committee:

C^{4} _{25}  = 12650

They want us to find the probability that the committee will consist of at least one student, which means that

=(Total possible outcome - committee with no student) / Total possible outcomes

So we need to find the possible outcomes of committee with no student:

= C^{4} _{5}  =5

=> the probability that the committee will consist of at least one student.

= (12650 - 5) / 12650

= 0.9996

= 99.96%

Hope it will find you well.

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