Problem

Decide which method (theoretical, relative frequency, or subjective) is appropriate, and compute or estimate the following probability. An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black 10 ? Which method is appropriate? The relative frequency method The subjective method The theoretical method The probability of drawing a black 10 is $\square$. (Type an integer or a simplified fraction.)

Solution

Step 1 :Decide which method (theoretical, relative frequency, or subjective) is appropriate for the problem. In this case, the theoretical method is appropriate.

Step 2 :An experiment consists of drawing 1 card from a standard 52-card deck. The deck contains 2 black 10s (one in clubs and one in spades).

Step 3 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcomes are drawing a black 10, and the total outcomes are drawing any card from the deck.

Step 4 :Calculate the probability using the formula: \( \frac{favorable\_outcomes}{total\_outcomes} \)

Step 5 :Substitute the values into the formula: \( \frac{2}{52} \)

Step 6 :Simplify the fraction to get the final answer: \( \boxed{\frac{1}{26}} \)

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Source: https://solvelyapp.com/problems/EZHcbjyzS2/

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