Question

section 5.1 homework
score: 15/17 answered 15/17
question 16
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 the ratio of favorable outcomes to total outcomes in a well - defined sample space. 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 theoretical.
(b) Empirical probability is based on observed data or experiments. The statement about car crashes due to driver error is based on data from the Department of Public Safety, so it is empirical.
(c) Subjective probability is based on personal judgment or belief. Saying "I'm 100% confident that you will win the match" is a personal opinion, so it is subjective.

Answer:

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