Math Problem Statement
X= number of heads when flipping 4 coins tabular form and graphical form
Solution
The bar graph above shows the probability distribution of the number of heads when flipping 4 coins. The x-axis represents the number of heads, and the y-axis shows the probability for each outcome.
Would you like more details or have any questions?
Here are 5 related questions for deeper exploration:
- What is the expected number of heads when flipping 4 coins?
- How does the distribution change if 6 coins are flipped instead of 4?
- What is the variance of the number of heads when flipping 4 coins?
- How would the probabilities change if the coins were biased (not 50/50)?
- How many ways can you get exactly 2 heads when flipping 4 coins?
Tip: The sum of all probabilities in a probability distribution must equal 1, as it covers all possible outcomes.
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Combinatorics
Formulas
P(k heads) = C(n, k) * (0.5^k) * (0.5^(n-k))
C(n, k) = n! / (k!(n-k)!)
Theorems
Binomial Theorem
Law of Total Probability
Suitable Grade Level
Grades 9-12