Build a distribution from 3 coin tosses
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Two dice: keep the larger number
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A coin and a die
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The same method works for wheels: Grey: keep the number. Gold: add the bonus. Example: a score of 3 can come from grey + 3 or gold + 1 when the bonus is 2. Count the matching pairs, then divide by the total number of pairs.
Exam-style question
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Toss two fair coins. X counts heads. Build its distribution. [3]
Step by step
- List all equally likely outcomes: TT, HT, TH, HH.
- Group by heads: 0 from TT; 1 from HT or TH; 2 from HH.
Final answer
P(X=0)=1/4, P(X=1)=1/2, P(X=2)=1/4. Their sum is 1.