A Bag Contains 3 Nickels, 5 Dimes, and 4 Quarters

question 81

Multiple Choice

A bag contains 3 nickels, 5 dimes, and 4 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a nickel N, a quarter Q, and a nickel N, in that order? ​

• A) Pr(N first ∩ Q second ∩ N third) =
• B) Pr(N first ∩ Q second ∩ N third) =
• C) Pr(N first ∩ Q second ∩ N third) =
• D) Pr(N first ∩ Q second ∩ N third) =
• E) Pr(N first ∩ Q second ∩ N third) =

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Definitions:

Satisfaction

The feeling of pleasure or fulfillment that comes from achieving a goal or satisfying a need.

Marginal Utility

The increase in satisfaction or utility derived from the consumption of an additional unit of a good or service.

Utility-Maximizing

A theoretical concept in economics that individuals or firms seek to achieve the greatest satisfaction or profit from their actions, subject to their resources.