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In a gambling game where a player can win k-2 dollars with a probability of 1/2^k, what is the nature of 'a' in the context of this scenario?

(A) Constant
(B) Natural number
(C) Random variable
(D) Exponential factor

1 Answer

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Final answer:

In this gambling game, the nature of the variable 'a' is a random variable.

Step-by-step explanation:

In this gambling game, the random variable 'a' represents the amount of money a player can win in the game. The nature of 'a' in this scenario is (C) Random variable. A random variable is a variable that takes on different values based on the outcome of a random event, in this case, winning the game. The probability of winning a certain amount of money is given by 1/2^k, where k is the amount of money the player can win minus 2.

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