Uniform Experiments
Probability
Level
1
Which of the following probability experiments would
not
have a uniform sample space?
A fair lottery in which each participant has exactly one ticket
Drawing a card from a shuffled poker deck
Rolling a fair six-sided die
The price of an ounce of gold tomorrow
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1 solution
Relevant wiki: Uniform Probability (by Outcomes)
In a fair lottery, each person has the same chance of winning.
When you draw from a shuffled poker deck, each card is equally likely to be drawn.
When you roll a fair six-sided die, each roll is equally likely.
These three experiments all have uniform sample spaces.
The price of gold could jump significantly tomorrow (if a catastrophe happened), or it could fall drastically (if a new source was found). However, it is much more likely that it will stay at about the same level it is at today. Therefore, this sample space is not uniform.