The probability that not three students have done their homework is 0.57
We have given that,
In a class of 7, there are 3 students who have done their homework.
That is total no. of Outcomes=7.
Students who did their homework=3.
Students who didn't do their homework=7-3=4.
To determine the probability that none of the three students have done their homework.
We have to find the probability of no. of students who haven't done their homework so that we use the formula of probability.
[tex]P(A)=\frac{no.of outcome}{total number of outcome}[/tex]
Using the Formula,
[tex]P(A)=\frac{number of outcome}{total number of outcome}[/tex]
P(students who haven't done homework)=students who haven't done homework/total number of students.
[tex]P(A)=4/7[/tex]
[tex]P(A)=0.57%[/tex]
Therefore the probability that none of the three students have done their homework is 0.57.
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