+0

# Probability

0
79
2

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?

May 1, 2022

#1
+23199
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.

May 1, 2022
#2
+2440
+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 $${6 \over 13} \times {5 \over 12} = \color{brown}\boxed{5 \over 26}$$

May 1, 2022