Question

There are 8 students in a class: 4 boys and 4 girls. If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
1 point
1/14
3/4
3/7
27/256

Answer 1

Answer:

Ok, the probability that the first selection is a girl is 6/8. The probability that the second is a girl is then 5/7. For the third, 4/6, for the fourth 3/5, and for the fifth 2/4. The probability of all those things occurring is the product:

P = (6/8)*(5/7)*(4/6)*(3/5)*(2/4) = 720/6720 = 10.71%

So, fairly unlikely, but by no means impossible. You wouldn’t want to go accusing the teacher of discrimination on that data alone.