Help with Probability, Roulette, and Population Statistics

In summary: There is a 0.5 chance you pick the right number and a 0.5 chance you pick the wrong number. So your expected value is (0.5)x(400) = 100. In summary, the probability of you picking the right number is 50/400=16.67%. The probability of you picking the wrong number is 50/400=16.67%.
  • #1
Paolo98
2
0
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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  • #2
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?
 
  • #3
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.
 
  • #4
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?
 

1. What is probability and how is it calculated?

Probability is the measure of the likelihood that an event will occur. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

2. How is roulette played and what are the odds of winning?

Roulette is a game of chance where players place bets on where a small ball will land on a spinning wheel. The odds of winning depend on the type of bet placed, but in general, the odds of winning in American roulette are 1 in 38 and in European roulette are 1 in 37.

3. What are some real-world applications of population statistics?

Population statistics are used to study and understand various aspects of human populations, including demographics, health, and economics. Some real-world applications include predicting disease outbreaks, analyzing the impact of policies and interventions, and making informed business decisions.

4. How can the Central Limit Theorem be applied to population statistics?

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is sufficiently large. This allows us to make inferences about a population based on a sample and is frequently used in population statistics to estimate population parameters.

5. Can probability be used to predict future events?

Probability can be used to make predictions, but it cannot guarantee the exact outcome of future events. It is based on the assumption that past outcomes are a good indicator of future outcomes, but there is always a degree of uncertainty involved.

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