Questions: 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 red 10? Which method is appropriate? The subjective method The theoretical method The relative frequency method The probability of drawing a red 10 is (Type an integer or a simplified fraction.)

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 red 10? Which method is appropriate? The subjective method The theoretical method The relative frequency method The probability of drawing a red 10 is (Type an integer or a simplified fraction.)
Transcript text: 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 red $10 ?$ Which method is appropriate? The subjective method The theoretical method The relative frequency method The probability of drawing a red 10 is $\square$ (Type an integer or a simplified fraction.)
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Solution

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Solution Steps

Step 1: Decide the Appropriate Method

For this problem, the theoretical method is appropriate because the total number of outcomes (52) and the number of favorable outcomes can be precisely defined without the need for empirical data or personal judgment.

Step 2: Identify the Total Number of Outcomes

In a standard 52-card deck, there are 52 possible outcomes when drawing a single card.

Step 3: Identify the Number of Favorable Outcomes

For a red 10, there are 2 favorable outcomes in a standard deck.

Step 4: Calculate the Probability

The probability of drawing the specified card is the number of favorable outcomes divided by the total number of outcomes. Therefore, the probability is $\frac{2}{52}$ or simplified to 0.04.

Final Answer:

The probability of drawing a red 10 from a standard 52-card deck is 0.04.

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