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

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

• A. 1/8
• B. 1/16
• C. 1/4
• D. 1/32

Answer: (B)

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.