To determine whether Asilia's conclusion about the probability of heads is empirical or theoretical, let's break down the definitions and the context:

1. **Theoretical Probability**: This is the probability based on known possible outcomes in a perfect world. For a fair coin, the theoretical probability of getting heads is 50%, because there are two equally likely outcomes (heads or tails).

2. **Empirical Probability**: This is the probability based on actual experiments or observations. It is calculated by dividing the number of times an event occurs by the total number of trials.

Given that Asilia flipped the coin 100 times and observed heads 42 times, she calculated the probability of heads as:
$$ \text{Empirical Probability} = \frac{\text{Number of Heads}}{\text{Total Flips}} = \frac{42}{100} = 0.42 \text{ or } 42\% $$

Since Asilia's conclusion is based on the actual results of her coin flips (an experiment), this is an example of empirical probability.

Therefore, the correct answer is:
Empirical

Question

To determine whether Asilia's conclusion about the probability of heads is empirical or theoretical, let's break down the definitions and the context:

1. **Theoretical Probability**: This is the probability based on known possible outcomes in a perfect world. For a fair coin, the theoretical probability of getting heads is 50%, because there are two equally likely outcomes (heads or tails).

2. **Empirical Probability**: This is the probability based on actual experiments or observations. It is calculated by dividing the number of times an event occurs by the total number of trials.

Given that Asilia flipped the coin 100 times and observed heads 42 times, she calculated the probability of heads as:
$$ \text{Empirical Probability} = \frac{\text{Number of Heads}}{\text{Total Flips}} = \frac{42}{100} = 0.42 \text{ or } 42\% $$

Since Asilia's conclusion is based on the actual results of her coin flips (an experiment), this is an example of empirical probability.

Therefore, the correct answer is:
Empirical

Knowee AI · Accepted Answer

To determine whether Asilia's conclusion about the probability of heads is empirical or theoretical, let's break down the definitions and the context:

1. **Theoretical Probability**: This is the probability based on known possible outcomes in a perfect world. For a fair coin, the theoretical probability of getting heads is 50%, because there are two equally likely outcomes (heads or tails).

2. **Empirical Probability**: This is the probability based on actual experiments or observations. It is calculated by dividing the number of times an event occurs by the total number of trials.

Given that Asilia flipped the coin 100 times and observed heads 42 times, she calculated the probability of heads as:
$$ \text{Empirical Probability} = \frac{\text{Number of Heads}}{\text{Total Flips}} = \frac{42}{100} = 0.42 \text{ or } 42\% $$

Since Asilia's conclusion is based on the actual results of her coin flips (an experiment), this is an example of empirical probability.

Therefore, the correct answer is:
Empirical

Asilia flipped a coin 100 times. It came up heads 42 times. She concluded the probability of heads with this coin was 42%. Is this an empirical or theoretical probability?Group of answer choicesTheoreticalEmpirical

Question

Solution

Similar Questions

Upgrade your grade with Knowee