A bag has 4 yellow, 6 red, 2 green, and 8 purple marbles. What is the probability of picking a purple marble, replacing it, and then picking another purple marble?

Question

anonymous · Answer

Since you are replacing the marble after the first pick, the events are independent of each other and your total probability is the probability of picking a purple marble, squared.

P(first purple) is:   (# of purple marbles)/(total # of marbles)

Now just square that and you have your answer.

anonymous · Answer

0.16?

anonymous · Answer

4/25

anonymous · Answer

P(first purple) is:   (# of purple marbles)/(total # of marbles) = 8/20 = 2/5

(2/5)^2 = 4/25

Yes, you got it!  Good job!

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition! @lxygrl

anonymous · Answer

And, as you know, that's the same as 0.16.  Good job!