Question

A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and 9 are white.

If a marble is drawn from the bag and then replaced 50 times, about how many times would a green marble be drawn?

A.
4

B.
8

C.
16

D.
24

Answer 1

@calculusxy

Answer 2

@jameshorton

Answer 3

I think we can make a proportion in here. Since it is without replacement, we won't have to worry about altering the denominators.

From the given situation, there is a total of 25 marbles and 8 of them are green (which can be shown as \(\large \frac{total}{green} = \frac{25}{8}\). Similarly, for the 50 trials (total) we would like to figure out the probability of picking a green marble (unknown or x). That can be shown as \(\large \frac{50}{x}\).

Now let's make a proportion from those two fractions:
\(\large \frac{25}{8} = \frac{50}{x}\)

Solve for \(x\).

Answer 4

so c?

Answer 5

Correct!

Answer 6

sup