A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. Find P(green, then blue). If you answer this question I will no longer have any questions because this will help me with anything! Please help!

Question

livielaughs · Answer

@mathmale ...?

kiwibyrd · Answer

Hi! Okay, so the key part of this is that it says you REPLACE the marble. This means that the total number of marbles never changes.

kiwibyrd · Answer

First you have to find the fractions that represent the chance of picking a green marble, and then a blue marble

kiwibyrd · Answer

Then, multiply those fractions together to get your answer.

livielaughs · Answer

Ok so that means this problem has something to do with experimental probability?

kiwibyrd · Answer

yeah ! can you figure out the answer?

livielaughs · Answer

yes, so total marbles = 41 so the fractions would be 7/41 and 10/41?

kiwibyrd · Answer

exactly :] now multiply those together

livielaughs · Answer

Ok! so the answer is 70/41?

kiwibyrd · Answer

Not quite. You multiply fractions differently than that, give me 1 sec

kiwibyrd · Answer

My calculator is saying 84/1681 but that seems like a really odd fraction to have as an answer

livielaughs · Answer

oh.. so are you supposed to just multiply straight across like 7 * 10 and 41 times 41?

livielaughs · Answer

sorry that took so long my computer is being slow

kiwibyrd · Answer

yes, that's how you do it

livielaughs · Answer

ok thankyou so much! (and I like your profile picture btw :P)

kiwibyrd · Answer

haha thanks ! i drew it myself

livielaughs · Answer

really? :O thats amazin!