Jeremy and Noor are playing a game where they each draw a marble from a bag, and whoever draws the marble worth the most points wins. Red marbles are worth 1 point, green marbles are worth 2 points, blue marbles are worth 3 points, and white marbles are worth 10 points. There are 4 of each type of marble in the bag. Jeremy draws a blue marble from the bag and does not replace it.

Question

Part A: If Noor draws a marble next, what is the expected value of Noor’s marble? Show your work.

Part B: Does this mean that Noor is more likely to win than to lose? Explain your answer.

Answer 1

What's left in the bag:
4R, 4G, 3B, 4W = 15 marbles total
Expected value
= ∑ x P(x)
=(4*1+4*2+3*3+4*10)/15
=4.07

Answer 2

Thank you!!!

Answer 3

You're welcome!