There are four possible outcomes. (The selected number can match 0, 1, 2, or 3 o

Q: There are four possible outcomes. (The selected number can match 0, 1, 2, or 3 o

Let Y denote the number of dice matched. From the table, a. P(Y=0) = 0.5787 b. P(Y=3) = 0.0046 c. P(Y >= 1) = 1 - P(Y=0) = 1 - 0.5787 = 0.4213

ID: 3171273 • Letter: T

Question

There are four possible outcomes. (The selected number can match 0, 1, 2, or 3 of the dice) The random variable X represents the profit from a $1 bet in Chuck-A- Luck. The table below summarizes the probabilities of earning a profit of x dollars from a $1 bet. Use this table to answer the following questions.

a.What is the probability that a player who plays once will lose this game? In other words, what is the probability that a player will match none of the three dice?

b. What is the probability that a player will match all three of the dice?

c. What is the probability that a player will match at least one of the dice?

Number of dice mathcing the chosen number profit probability 0 -1$ 0.5787 1 1$ 0.3472 2 2$ 0.0695 3 3$ 0.0046

Explanation / Answer

Let Y denote the number of dice matched.

From the table,

a. P(Y=0) = 0.5787

b. P(Y=3) = 0.0046

c. P(Y >= 1) = 1 - P(Y=0) = 1 - 0.5787 = 0.4213

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There are four possible outcomes. (The selected number can match 0, 1, 2, or 3 o

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