Asked by Gaganveer Dhaliwal on Sep 24, 2024

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​Six possibilities are equally likely and have payoffs of $2,$4,$6,$8,$10,and $12.The expected value is:

A) ​$4
B) $5
C) $6
D) ​$7

Expected Value

An average value determined by weighing all potential outcomes of a random variable according to their likelihood of happening.

Payoffs

The returns or benefits received from a particular course of action or decision, often evaluated in decision-making processes.

  • Acquire insight into the notion of expected value and its determination in simple contexts.
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Kevin Nguyen2 days ago
Final Answer :
D
Explanation :
The expected value can be calculated by taking the average of the payoffs:
(2+4+6+8+10+12)/6 = $7. Therefore, the best choice is the option with the highest payoff, which is $12.