Question

identify the type of probability (theoretical, empirical, or subjective) is used in yielding the following statements. (a) the probability of drawing an ace from a standard deck of cards is 1/13. (b) based on the department of public safety, 75% of all car crashes is due to driver error. (c) im 100% confident that you will win the match.

Explanation:

• (a) Theoretical probability is based on mathematical reasoning. In a standard deck of 52 cards, there are 4 aces. So the probability of drawing an ace is $\frac{4}{52}=\frac{1}{13}$, which is calculated without conducting any experiments.
• (b) Empirical probability is based on observed data. The 75% figure is likely from real - world data collected by the Department of Public Safety on car crashes.
• (c) Subjective probability is based on personal judgment or opinion. Saying 100% confidence that someone will win a match is a personal belief.

Answer:

(a) Theoretical
(b) Empirical
(c) Subjective