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:

  1. What is the expected number of heads when flipping 4 coins?
  2. How does the distribution change if 6 coins are flipped instead of 4?
  3. What is the variance of the number of heads when flipping 4 coins?
  4. How would the probabilities change if the coins were biased (not 50/50)?
  5. 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