Patients of a medical practice are randomly assigned to four exam rooms: Room A, Room B, Room C, Room D .What is the likelihood that a patient will be assigned to Room C?

Rationale

The likelihood that a patient will be assigned to Room C is 0.25.

In this scenario, there are four exam rooms (Room A, Room B, Room C, Room D) and each patient is randomly assigned to one of these rooms. Since the assignment is random and all rooms have an equal chance of being chosen, the probability of a patient being assigned to Room C is 1 out of 4, or 0.25.

A (0.66) YOUR ANSWER

This choice suggests a likelihood of two-thirds, which would imply that Room C is assigned to two patients for every one patient assigned to the other rooms combined. However, since there are four rooms, each room can only be assigned an equal probability of 0.25.

B (0.33) CORRECT

This option indicates a likelihood of one-third, suggesting that Room C is assigned to one patient for every two patients assigned to the other three rooms. Given there are four rooms, this distribution does not accurately represent the equal probability of assignment; thus, it is incorrect.

C (0.5) YOUR ANSWER

This choice implies a 50% chance that a patient will be assigned to Room C, which would mean there would only be two rooms. However, since there are four exam rooms available, this probability misrepresents the equal chance for each room, making this option incorrect.

D (0.25) YOUR ANSWER

This is the correct answer, representing the equal probability of assignment to any one of the four rooms. With four rooms available, each room, including Room C, has a probability of 1 out of 4, which translates to 0.25.

Conclusion

The probability of a patient being assigned to Room C, given four equally likely options, is 0.25. This reflects the fundamental principle of equal likelihood in a random assignment scenario, where each of the four rooms has an identical chance of being selected. Understanding this concept is essential for proper statistical reasoning in medical practice management.

Patients of a medical practice are randomly assigned to four exam rooms: Room A, Room B, Room C, Room D .What is the likelihood that a patient will be assigned to Room C?

The likelihood that a patient will be assigned to Room C is 0.25.

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