Difference between theoretical and empirical probability

Q.1

1. What is the difference between theoretical and empirical probability? Explain this difference in detail in your own words (3-4 sentence minimum), providing an example for both theoretical and empirical probability (you do not have to work your examples out).

2. Watch the following video (8 minutes 35 seconds) on four boosting messages on how to learn math. What do you feel was the biggest takeaway for you personally from this video?

3.How is probability and/or odds used in the career field you are pursuing (or are currently in)?

https://www.youcubed.org/resources/four-boosting-messages-jo-students/

2. Create a question involving either theoretical OR empirical probability, but DON’T solve it. Leave that for your classmates to do!

Q 2. 📌 write what do you think about their writing. don’t use he/she. judge like you are giving them advice’s.

Reply 1.

Theoretical probability is determining what will happen based on the number of possible outcomes. The simplest example of Theoretical probability is a single coin toss which has a 0.5 probability of Heads or Tails on any given toss. These outcomes are determined without actually tossing a real coin. Empirical probability is determining the possible outcome of a set of events based on information gathered from past experiences with the same situations. Having the information that I go to work on a normal bases 5 days a week, in any given week, the Empirical probability of me going to work is 0.71.

2. Using a standard 52 card deck of playing cards, what is the probability that you will draw a Red number card, where Ace is counted as 1.

Reply 2.

1.Theoretical probability is given from the number of ways a certain event can happen, divided by a total number of potential outcomes. For example, if I were to flip a penny 50 times, I would expect that both heads and tails each came up 25 times. Empirical probability is given from the number of times that certain event happened divided by total numbers of incidents that were observed. For example, I could toss a penny 50 times to see how many times I get heads.

2.

Types of Subs Number of orders
Tuna 3
BLT 5
Turkey & Swiss 6
Chicken Club 2
Meatball 2

Based on this data, what is a reasonable estimate of the probability that the next type of sub ordered is a BLT?

Answers: 0.11 / 0.17 / 0.28 / 0.33

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