Yaro knew there were 40 cards in the stack. He also knew 10 of the cards were red. He concluded the probability of choosing a red card at random to be 25%. Is this an empirical or theoretical probability?Group of answer choicesTheoreticalEmpirical
Question
Yaro knew there were 40 cards in the stack. He also knew 10 of the cards were red. He concluded the probability of choosing a red card at random to be 25%. Is this an empirical or theoretical probability?Group of answer choicesTheoreticalEmpirical
Solution
To determine whether Yaro's conclusion about the probability of choosing a red card is empirical or theoretical, let's analyze the information given and the method used to arrive at the probability.
- Total number of cards: Yaro knew there were 40 cards in the stack.
- Number of red cards: Yaro knew 10 of the cards were red.
- Calculation of probability: Yaro calculated the probability of choosing a red card at random by dividing the number of red cards by the total number of cards and then converting it to a percentage.
This calculation is based on known quantities and does not rely on experimental data or observations. It uses the principles of probability theory to determine the likelihood of an event occurring.
Therefore, the probability Yaro calculated is:
Theoretical
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