Help with Probability, Roulette, and Population Statistics

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Discussion Overview

The discussion revolves around probability problems related to card games, roulette betting, and population statistics. Participants seek assistance in calculating probabilities and understanding statistical concepts, including the empirical rule and percentiles.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant asks for the probabilities of drawing a 9, a heart, and a 9 of hearts given certain cards are already held.
  • Another question involves the fairness of betting on a single number in roulette and the implications of betting on two separate numbers.
  • Participants inquire about the numerical values representing the range of numbers included by the empirical rule based on a provided population dataset.
  • There is a request for the percentile rank of a score of 27 within the same dataset.
  • Questions are raised about the percentage of scores falling between 18 and 26 and the interpretation of a Z-score of -1.79 in relation to ACT scores.
  • One participant expresses uncertainty about how to approach the problems, indicating they have not attempted any calculations yet.
  • Another participant suggests considering expected value in the context of the roulette question, prompting a discussion about probabilities of winning and losing.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the solutions to the problems posed, and multiple viewpoints regarding the approach to the roulette question are evident.

Contextual Notes

Some participants have not provided their initial thoughts or attempts at solving the problems, which may limit the effectiveness of the assistance offered. The discussion includes various statistical concepts that may require further clarification or context.

Who May Find This Useful

Individuals interested in probability theory, statistics, and practical applications of these concepts in games of chance and data analysis may find this discussion relevant.

Paolo98
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Please help me, I will really appreciate it!

1) You are dealing a standard hand of 5 card stud, 1 card face down, 4 face up. Ignoring the cards dealt to all other players what is the probability of you drawing a 9, a heart, and a 9 of hearts assuming you have the 6, 7, 8 and 10 of hearts already. (List all three probabilities)

2) At the local casino you are finally trying to make it big. The roulette table is rolling and you have enough to place two bets, \$20.
The wheel has 36 numbers on it, you will win 400 for your \$10 bet if you pick the right number. Is it a fair game if you bet on only one number? What about if you bet $20 on one game but two superate numbers.

3) Also, I have this problem, where the population is:
13, 15, 19, 19, 20, 22, 22, 24, 24, 25, 26, 27, 31, 34, 35, 26, 36
I already found the 5 number summary, IQR, mean, standard deviation and variance. But I don't know how to resolve those:

-What numerical values represent the range of numbers included by the empirical rule?
-If someone scored a 27, what percentile would his score fall into?
-What percentage of people would be represented by a score between 18 and 26
-Using Z-score of -1.79, what score was achieved on the ACT.
 
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Re: I need help with those probability problems please (it's important)

Hello and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper. We also ask that you only post one question per thread.

Can you post what you have done so far?
 
Re: I need help with those probability problems please (it's important)

The problem is that I don't know how to do them at all! I've done all the others but I don't know how to do those.
 
Re: I need help with those probability problems please (it's important)

Paolo98 said:
2) At the local casino you are finally trying to make it big. The roulette table is rolling and you have enough to place two bets, \$20.
The wheel has 36 numbers on it, you will win 400 for your \$10 bet if you pick the right number. Is it a fair game if you bet on only one number? What about if you bet $20 on one game but two superate numbers.

Ok let's look at this one.

This involves something we called expected value. What is the probability you pick the right number? What is the probability you pick the wrong number?
 

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