Since the only valid combination is each month having 1 inch, we have:
**Why “Each Month Having 1 Inch”
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- For this distribution, the probability is:
- Desmodified for statethink in three separate events, the total probability is the same due to independence and identical distribution:
- An anthropologist is studying a community where each individual can adopt one of three social roles: Leader, Mediator, or Supporter. If the community consists of 6 individuals, in how many ways can the roles be assigned such that there is at least one person in each role?
- To solve this problem, we use the principle of inclusion-exclusion to count the number of ways to assign roles such that there is at least one person in each role.
- Subtract cases missing at least one role:
