At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
a) with replacement: P(3 red) = P(1st red). P(2nd red). P(3rd red)=(7/10)(7/10)(7/10)=343/1000
these are the answers I got I just wanted to get them checked and see if they are right? a) with 343/128 without 21/132 b)125/1728 without 60/132 c) I did not know how to do this one D) with 175/1728 without 14/132
wouldnt it be 7/12? not 7/10?
Oh sorry over 12 :(
ok could you possibly tell me if my answers are right? and possibly how to do C?
for a with replacement: P(3 red)=(7/12)^3
without replacement: P(3 red)=(7/12)(6/11)(5/10)=....
Use the same method to solve B.
ya I did that, but I just wanted to make sure i got the right answers and simplified right?
a) with replacement: P(3 red)=343/1728 = 0.1984
without replacement: P(3 red)=7/44 = 0.159
what about the others?
B) with replacement: P(3 black)=(5/12)^3=125/1728
without replacement: P(3 black)=(5/12)(4/11)(3/10)=1/22
how did you get 1/22?
You can do it by hand though.
do you know how to do c?
Sorry, I had to go. In part (c), we want to get one red and two black marbles. There are three possibilities for this, red comes first, second or last. if R denotes red marbles and B denotes black marbles, then: i) with replacement: P(one red and two black)=P(R B B)+P(B R B)+P(B B R) =(7/12)(5/12)(5/12)+(5/12)(7/12)(5/12)+(5/12)(5/12)(7/12) =3(7/12)(7/12)(5/12)= (use a calculator).
Try the same way and do the "without replacement" part.