Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities.
a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails.
multiple choice 1
Subjective probability
Empirical probability
Classical probability
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s.
multiple choice 2
Subjective probability
Empirical probability
Classical probability
c. A political reporter announces that there is a 39% chance that the next person to come out of the conference room will be a Republican, since there are 62 Republicans and 99 Democrats in the room.
multiple choice 3
Subjective probability
Empirical probability
Classical probability
a. Subjective probability
b. Subjective probability
c. Classical probability
a. Subjective probability
b. Subjective probability
c. Classical probability
a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails.
The answer to this question is "Subjective probability". Sunil is making an assessment or assigning a probability based on his own judgment or personal beliefs.
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s.
The answer to this question is also "Subjective probability". John is expressing his belief or opinion about the likelihood of receiving straight A's.
c. A political reporter announces that there is a 39% chance that the next person to come out of the conference room will be a Republican, since there are 62 Republicans and 99 Democrats in the room.
The answer to this question is "Classical probability". The probability is determined by the ratio of the number of Republicans (62) to the total number of people in the room (62 + 99 = 161). Classical probability is based on a theoretical model and assumes that all possible outcomes are equally likely.