To select two students to read the morning announcements, the principal places 5 girls names and 4 boys names in a bag. What is the probability that both students selected to read the morning announcements will be 2 girls?

Question

Dean Haynes

Mathematics

14 August, 06:14

To select two students to read the morning announcements, the principal places 5 girls names and 4 boys names in a bag. What is the probability that both students selected to read the morning announcements will be 2 girls?

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Maximillian · Answer 1

First let's measure how many ways can be the announcement done.

We have 9 people. So 9 options for first person and 8 option for the second. We get 72 possibilities. Since it doesn't matter a is with b or b is with a the possibilities go down to 36.

Now let's count how many ways we can make 2-girl pair

we can 5 options for the first person and 4 options for second. The same way divide this by 2 we are left with 10 possibilities.

So we got that there are 36 pairs possible.

At least find the probability divide the wanted outcome by the possible numbers of outcomes. 10/36=5/18

Answer 5/18