# Question: An urn contains 17 balls marked LOSE and 3 balls

An urn contains 17 balls marked LOSE and 3 balls marked WIN. You and an opponent take turns selecting a single ball at random from the urn without replacement. The person who selects the third WIN ball wins the game. It does not matter who selected the first two WIN balls.

(a) If you draw first, find the probability that you win the game on your second draw.

(b) If you draw first, find the probability that your opponent wins the game on his second draw.

(c) If you draw first, what is the probability that you win?

(d) Would you prefer to draw first or second? Why?

(a) If you draw first, find the probability that you win the game on your second draw.

(b) If you draw first, find the probability that your opponent wins the game on his second draw.

(c) If you draw first, what is the probability that you win?

(d) Would you prefer to draw first or second? Why?

## Relevant Questions

Let D1, D2, D3 be three four-sided dice whose sides have been labeled as follows: The three dice are rolled at random. Let A, B, and C be the events that the outcome on die D1 is larger than the outcome on D2, the outcome on ...Let P(A) = 0.3 and P(B) = 0.6. (a) Find P(A ∪ B) when A and B are independent. (b) Find P(A | B) when A and B are mutually exclusive. Bean seeds from supplier A have an 85% germination rate and those from supplier B have a 75% germination rate. A seed-packaging company purchases 40% of its bean seeds from supplier A and 60% from supplier B and mixes these ...Let a chip be taken at random from a bowl that contains six white chips, three red chips, and one blue chip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if the outcome is a red chip, and let X = ...Let X be a random variable with support {1, 2, 3, 5, 15, 25, 50}, each point of which has the same probability 1/7. Argue that c = 5 is the value that minimizes h(c) = E( |X − c| ). Compare c with the value of b that ...Post your question