# Question: if we were to have a box of marbles containing...

###### Question details

If we were to have a box of marbles
containing 2 red, 2 black, 2 blue, and 2 yellow, and we drew out a
marble, we would then have the choice of keeping the marble out or
putting it back. Each choice affects the odds (probability) of
subsequent draws differently. If we draw out a red marble and put
it back, this is known as **with replacement**, and
the odds of subsequent draws are the same is for the first draw. If
we draw a red marble and keep it out, known as drawing
**without replacement**, the total number of marbles
decreases as does the specific color of marble chosen. For example,
if we draw two marbles from our box of marbles, what are the
chances the first draw will be red?

*p*(red on 1^{st} draw) =

If the first draw was a red marble,
what are the odds of the second draw being a red marble if we
didn’t replace the 1^{st} red marble we drew out?

*p*(red on 2^{nd} draw) =

Combine these draws; what is the probability that the first and second draws (without replacement) will be red?