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

Question

anonymous · Answer

4/6*4/6 = 16/36 = 4/9?

mathstudent55 · Answer

The probability of an event happening is:

$p(event) = \dfrac{number ~of~desired~outcomes}{total~ number ~of~ outcomes}$

If two events are independent of each other, the probability of both events happening is the product of their individual probabilities.

mathstudent55 · Answer

You are correct.
$p(green~ marble) = \dfrac{4}{6} $

$p(green~marble ~followed~by ~green~marble) = \dfrac{4}{6} \times \dfrac{4}{6} = \dfrac{4}{9} $

anonymous · Answer

I am trying to put it in worded form because it value 10pts