A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.

Question

anonymous · Answer

@Michele_Laino  u think u culd help me some more ^.^?

michele_laino · Answer

at the first draw, the probability for getting a blue marble, is:
3/8
then Maya replaces it into the box

michele_laino · Answer

at the second draw the probability to getting a blue marble, is the same, namely 
3/8

michele_laino · Answer

now, what is the requested probability?

anonymous · Answer

so both probabilities is 3/8 ^.^ ?

michele_laino · Answer

yes! Since Maya replaces the extracted marble into the box every time

michele_laino · Answer

then the requested probability is:
3/8  *  3/8 = ...?

michele_laino · Answer

$$\frac{3}{8} \times \frac{3}{8} = ...?$$

anonymous · Answer

its 9/64? i think

michele_laino · Answer

yes!

anonymous · Answer

how do i simplify tht ^.^

michele_laino · Answer

we can not simplify that fraction, since 9 and 64 have no common divisors

anonymous · Answer

oh okay thx again is it ok if i tag u in a few more questions?

michele_laino · Answer

ok!