Question

I have a probability question:
What is the probability that a car containing 7 people chosen out of 12 (4 boys, 8 girls) has Peter and Manuel in it (both are boys)?

Answer 1

doesn't look like "boys and girls" matter for this question, just "pick 7 out of 12, what is the probability that peter and manuel are picked?

Answer 2

i don't know you tell me

Answer 3

ok , it doesn't matter that they are boys, just that they are chosen

Answer 4

your denominator will be
\[\dbinom{12}{7}\] the total number of ways you can choose 7 out of 12
numerator will be
\[\dbinom{2}{2}\times \dbinom{10}{5}\] that is the number of way you can pick the two out of two (which is clearly only one way) times the number of ways you can pick the remaining 5 out of the remaining 10

Answer 5

so in fact you have
\[\frac{\dbinom{10}{5}}{\dbinom{12}{7}}\]

Answer 6

Yes that's what I got! I did it the satellite way before satellite explained it to me!!!

Answer 7

You remember how you would always have to do things for me twice, once your way and once my way? Well my math class is getting into probability and now I am learning your way and I must say it is much easier

Answer 8

yes i think it is
good work

Answer 9

thanks