Question
- Which of the following is a correct statement?
The total probabilities of all values in a sample space must add up to 1
Probabilities are numbers whose values can be any number between -1 and 1
The law of averages tells me that if my first 10 flips on a fair coin are all heads, the next flip has a higher
probability of being a tail.
An event that is certain not to happen has a probability of 1.0
The total probabilities of all values in a sample space must add up to 1
Probabilities are numbers whose values can be any number between -1 and 1
The law of averages tells me that if my first 10 flips on a fair coin are all heads, the next flip has a higher
probability of being a tail.
An event that is certain not to happen has a probability of 1.0
Ask by Wheeler Romero. in the United States
Dec 09,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct statement is: The total probabilities of all values in a sample space must add up to 1.
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Extra Insights
The total probabilities of all values in a sample space must add up to 1! It’s one of those fundamental rules in probability theory that ensures the math behind events makes sense. Imagine a pie chart: if you slice the pie into various pieces (representing all possible outcomes), you can’t have a pie greater than what’s in the dish, right? Everything must fit neatly into that whole.
On the flip side, the misconception about the law of averages suggests that past outcomes influence future events in independent trials, like coin flips. The truth is, each flip of a fair coin is a standalone event, so your run of heads doesn’t increase the chance of tails on the next flip. It’s always a 50/50 shot—no stacking the odds here!
