Sam tosses four coins. What is the probability that all four land on heads?

Enhance your understanding of the EC-6 (391) Mathematics with comprehensive flashcards and multiple choice questions. Gain insights with detailed hints and explanations for a successful exam preparation!

Multiple Choice

Sam tosses four coins. What is the probability that all four land on heads?

Explanation:
Each coin toss is independent and has a 1/2 chance of landing heads. To get heads on all four tosses, multiply the chances for each toss: (1/2) × (1/2) × (1/2) × (1/2) = 1/16. Another way to see it is that there are 2^4 = 16 equally likely sequences of results for four tosses, and only one sequence is all heads, so the probability is 1/16. Therefore, the probability is 1/16.

Each coin toss is independent and has a 1/2 chance of landing heads. To get heads on all four tosses, multiply the chances for each toss: (1/2) × (1/2) × (1/2) × (1/2) = 1/16. Another way to see it is that there are 2^4 = 16 equally likely sequences of results for four tosses, and only one sequence is all heads, so the probability is 1/16. Therefore, the probability is 1/16.

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