A coin is flipped two times. What is the probability of getting at least one head?
- A
- B
- C
- D
Solution & Step-by-step Explanation
When a fair coin is tossed two times, the sample space representing all possible outcomes is:
The total number of possible outcomes is .
Let be the event of getting at least one head. This includes outcomes with exactly one head or two heads:
The number of favorable outcomes is .
The probability of the event is given by the formula:
Thus, the probability of getting at least one head is .
The total number of possible outcomes is .
Let be the event of getting at least one head. This includes outcomes with exactly one head or two heads:
The number of favorable outcomes is .
The probability of the event is given by the formula:
Thus, the probability of getting at least one head is .