  Three students from a 14 student class will be selected to attend a meeting . 5 of the students are female .What is the probability that not all three of the students chosen to attend the meeting are female ? =

Question

Three students from a 14 student class will be selected to attend a meeting . 5 of the students are female .

What is the probability that not all three of the students chosen to attend the meeting are female ? =

Step 1

Let us say,  the probability that not all three of the students chosen to attend the meeting are female is P(X).

And, the probability that all three of the students chosen to attend the meeting are female will be P(X0).

Then we can say that P(X) = 1 - P(X0).

Step 2

Let us find P(X0), as it is simpler to calculate compared to P(X) :

Step 3

Now, lets find...

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Basic Probability 