In a class of 7, there are 3 students who have done their homework. If the teacher chooses 3 students, what is the probability that none of the three of them have done their homework?
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the answer is
3/7 as favorablw outcomea are 3 and total are 7
3/7 as favorablw outcomea are 3 and total are 7
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The probability that none of the 3 students have done their homework is 24/343.
- Total number of students in the class is 7, out of which 3 students have done their homework.
Therefore, 4 students have not done the homework.
- A teacher chooses 3 students at random.
- We have to find the probability that none of the 3 students have done their homework
- Now,
Probability that the first student chosen has not done the homework is 4/7.
Probability that the second student chosen has not done the homework is 3/7.
Probability that the third student chosen has not done the homework is 2/7.
- Now the probability that all the three have not done the homework is 4/7 × 3/7 × 2/7 = 24 / 343 .
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