If you were to pick two students out of a class of 7 girls and 6 boys, what is the probability that the students chosen are two boys?

Guest May 1, 2022

#1**0 **

The probability that the first student chosen is a boy is 1/6.

Now, there are only 5 boys remaining, so the probability that te second student chosen is a boy is 1/5.

Combine these two probabilities by multiplying (1/6) x (1/5) = 1/30.

geno3141 May 1, 2022

#2**+1 **

There is a \(6 \over 13\) chance of picking a boy the first time (6 boys over 13 total students)

After that, there is a \(5 \over 12\) chance of picking a boy (5 boys, 1 was chosen, over 12 remaining students)

Thus, the total probability is \({6 \over 13} \times {5 \over 12} = \color{brown}\boxed{5 \over 26}\)

BuilderBoi May 1, 2022