Questions: Which type of probability was used in the following example? If you roll two dice, the probability the the sum of the two dice is equal to 5 is 1/9. Classical Subjective Experimental
Transcript text: Test 2
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Question 21
Which type of probability was used in the following example?
If you roll two dice, the probability the the sum of the two dice is equal to 5 is $\frac{1}{9}$.
Classical
Subjective
Experimental
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Solution
Solution Steps
The problem is asking about the type of probability used in a scenario involving rolling two dice. The probability is calculated based on the assumption that all outcomes are equally likely, which is characteristic of classical probability.
Step 1: Identify the Type of Probability
In the given scenario, we are rolling two dice and calculating the probability that the sum of the two dice equals \(5\). The probability is given as \( \frac{1}{9} \). This probability is determined based on the assumption that all possible outcomes are equally likely.
Step 2: Classify the Probability
The classification of probability types includes:
Classical Probability: Based on the assumption of equally likely outcomes.
Subjective Probability: Based on personal judgment or opinion.
Experimental Probability: Based on the results of an experiment or historical data.
Since the probability \( \frac{1}{9} \) is derived from the total number of outcomes when rolling two dice, it falls under the category of classical probability.