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Probability is the relative frequency with which an event occurs. Probability he

ID: 3075097 • Letter: P

Question

Probability is the relative frequency with which an event occurs. Probability helps managers make rational decisions in situations involving uncertainty. There are 3 types of probability Empirical Probability is determined by observation. For example, the number of defects in 10,000 widgets was observed to be 25. So, P(defective)- 25/10,000. Subjective Probability- Subjective probability measures the likelihood of an event subjectively. Rationally derived from experience of the past, knowledge, and conditions of the o present. o A "personal belief ", allowing substantial variation in measures. o Example: Based on past experience, I feel that the probability of candidateA winning the election is about 60%. Classical Probability requires enumerating all possible outcomes, counting the outcomes of interest, and computing probability of the outcome(s) of interest number of the outcome(s) of interest / the total number of outcomes o Example: If there are 40 even numbers and 60 odd numbers randomly distributed randomly in a box, the probability of drawing an even number, Pleven) 40/(40+60) The Probability Rules: Probability of an outcome can take any value from 0 or 0% (impossible) to 1 or 100% (certainty) The probability of all outcomes is 100%. . An event consists of 1 or more outcomes . The probability of an event not occurring is 1 minus the probability that it occurs Which of these 6 possible answers are the Valid probabilities? 1.01, 110%, 0%,-0.25%, 1,50/49, or 49/so

Explanation / Answer

Any probability value has to lie between 0 and 1 ie 0% and 100 %

In the above 6 values given only the values 0 % and 49/50 meet the condition hence out of the 6 values given only 2 values meet the condition

Also probability can never be negative and above 100 %

Hence all the other values except 0% and 49/50 are not probabilities

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