Question

Maria had a bag that contained 2 blue marbles, 3 green marbles, 4 red marbles, 5 yellow marbles, and 6 orange marbles. Maria removed onemarble without looking, and she recorded the result. She placed the marble back in the bag and removed a second marble.What is the probability that Maria removed a green marble followed by a red marble?

Answer 1

Blue marbles = 2

Green Marbles = 3

Red Marbles = 4

Yellow Marbles = 5

Orange Marbles = 6

We want the probabilty of Green Marble followed by Red Marble.

This is probability with replacement.

Total Number of Marbles = 2 + 3 + 4 + 5 + 6 = 20 marbles

• 1st draw, probability of green = 3/20

Since the marble is replaced back, there are the same number and color as initial. Thus,

• 2nd draw, probability of red = 4/20

We have to multiply the two, so,

$\begin{gathered} P(G,R)=\frac{3}{20}\times\frac{4}{20} \\ P(G,R)=\frac{3}{20}\times\frac{1}{5} \\ P(G,R)=\frac{3}{100} \end{gathered}$

Hence,

The probability that Maria removed a green marble followed by a red marble is 3/100.