Question: If a die shows a 3, what is the expected value of the next roll?
Options:
1
3.5
4
6
Correct Answer: 3.5
Solution:
The expected value of a fair die roll is the average of all outcomes: (1+2+3+4+5+6)/6 = 3.5.
If a die shows a 3, what is the expected value of the next roll?
Practice Questions
Q1
If a die shows a 3, what is the expected value of the next roll?
1
3.5
4
6
Questions & Step-by-Step Solutions
If a die shows a 3, what is the expected value of the next roll?
Expected Value – The expected value is the average outcome of a random variable, calculated by multiplying each possible outcome by its probability and summing the results.
Independence of Events – The outcome of one roll of a die does not affect the outcome of the next roll; each roll is independent.
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