Determine whether the statement gives a theoretical mathematical probability, an empirical mathematical probability, or just represents someone's opinion. 1. The probability of two heads on a toss of two coins is 0.25.2. The statement gives an empirical mathematical probability.

3. The statement gives a theoretical mathematical probability.

4. The statement gives someone's opinion.

Question

Mathematics

Zander Sampson

19 December, 15:34

Determine whether the statement gives a theoretical mathematical probability, an empirical mathematical probability, or just represents someone's opinion. 1. The probability of two heads on a toss of two coins is 0.25.2. The statement gives an empirical mathematical probability.

3. The statement gives a theoretical mathematical probability.

4. The statement gives someone's opinion.

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Answers (1)

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Ryker · Answer 1

3. The statement gives a theoretical mathematical probability.

Step-by-step explanation:

Let's first check what the theoretical probability for this event would be:

Probability = (Probability of heads on first turn) * (Probability of heads on second turn)

Since the results of both coin tosses are exclusive or independent of each other we get:

Theoretical Probability = 0.5 * 0.5 = 0.25

Thus we can say that theoretically, the statement is correct.

This statement gives a theoretical mathematical probability.

For empirical probability, we would need past results to justify our answer. Since there is no mention of any past results of coin tosses, we can confirm this is in fact NOT an empirical probability.