Math Problem Statement
the table shows the outcome of rolling a number cube (labeled 1 through 6 200 times Income 1 2 3 4 5 6 outcome 20 28 35 33 38 36 based on the outcomes, enter the number of times the cube is expected to land on 1 if it is rolled 50 times Enter your answer as a number, like this: 42
Solution
To find the expected number of times the cube will land on 1 when rolled 50 times, we can use the proportion from the original outcomes.
The proportion of times the cube landed on 1 out of 200 rolls is:
Now, to find the expected number of times the cube will land on 1 in 50 rolls, we multiply this proportion by 50:
So, the expected number of times the cube will land on 1 in 50 rolls is 5.
Would you like more details on how to calculate expected values? Or do you have another question?
- What is the general formula for calculating expected value?
- How do you calculate the probability of rolling a specific number on a fair number cube?
- How does the expected value change when the number of rolls is different?
- What would happen if the cube is biased and the outcomes aren't equally likely?
- How could you use a probability distribution to predict outcomes over multiple trials?
Tip: Always check if the outcomes from your experiment match the theoretical probabilities before making predictions!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Expected Value
Proportions
Formulas
Expected Value = Proportion of event × Total trials
Theorems
Law of Large Numbers
Suitable Grade Level
Grades 7-9