Question

2 I need help ASAPQuestion 3 (Essay Worth 10 points)(07.01 MC)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 thendraws another marble randomly. What is the probability of drawing two green marbles in a row? Explain your answer.

Answer 1

We are given a number of marbles inside a bag. If one marble is drawn then the probability of it being green is the number of green marbles and the total number of marbles:

`P(GM)=(4)/(1+1+4)=(4)/(6)=(2)/(3)`

Since there is replacement the probability that in the second draw the marble is green is the same. Therefore, the probability that both marbles are green is the product of both probabilities:

`P(\text{GMandGM)}=(2)/(3)*(2)/(3)=(4)/(9)=0.4444`

In percentage form, the probability is 44.44%.