{% extends "global/Page.html" %} {% load otree static %} {% block title %} Instructions {% endblock %} {% block content %}
You will now complete two tasks in which you choose between two payment options. If one of these tasks is selected for payment, the computer will then randomly select two numbers to determine your payment. Random Number A determines your chance of earning the $5. It will be a whole number from 1 to 6 (each number is equally likely to be chosen). Random Number B will be a whole number from 1 to 100 (each number is equally likely to be chosen). If Random Number B is equal to or less than your chance of earning the $5, which was determined by Random Number A, you earn the $5.
Here is an example of two payment options:
| If Random Number A is: | 1 | 2 | 3 | 4 | 5 | 6 | |
| Your chance of earning the $5 is: | 50% | 50% | 50% | 50% | 50% | 50% |
| If Random Number A is: | 1 | 2 | 3 | 4 | 5 | 6 | |
| Your chance of earning the $5 is: | 40% | 40% | 60% | 60% | 60% | 60% |
If you chose Option 1, you would have a 50% chance of earning the $5 regardless of which Random Number A (from 1 to 6) is selected. So, you would earn the $5 if the Random Number B (from 1 to 100) was 50 or less. Since the computer is equally likely to pick any number from 1 to 100, this procedure provides exactly the chance of earning the $5 described by the payment option (in this case, 50%).
If you chose Option 2, you would have a 40% chance of earning the $5 if Random Number A was a 1 or a 2 and a 60% chance of earning the $5 if Random Number A was a 3, 4, 5, or 6. If you had a 40% chance of earning the $5, you would earn the $5 if Random Number B was 40 or less. If you had a 60% chance of earning the $5, you would earn the $5 if Random Number B was 60 or less.