MHB Help with Probability, Roulette, and Population Statistics

AI Thread Summary
The discussion revolves around probability problems related to card games, roulette, and population statistics. For the 5-card stud scenario, the probabilities of drawing a 9, a heart, and the 9 of hearts need to be calculated based on the cards already held. In the roulette scenario, the fairness of betting on one number versus two separate numbers is questioned, with a focus on expected value and win probabilities. Lastly, the user seeks assistance with statistical concepts such as the empirical rule, percentiles, and Z-scores related to a given population dataset. The conversation emphasizes the importance of demonstrating prior work to facilitate effective help.
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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