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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
avatar+23199 
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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
avatar+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

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