Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on the material. She skims the online reading and then takes the exam. On the first try, she has a probability of 0.4 of passing. If she fails on the first try, her probability on the second try increases to 0.5 because she learned something from her first attempt. If she fails on two attempts, the probability of passing on a third attempt is 0.6. She will stop as soon as she passes. The course rules force her to stop after three attempts in any case.**Tree Diagram Explanation:**The diagram is a decision tree representing Elaine's possible outcomes:1. **First Attempt:** - Pass with probability 0.4 - Fail with probability (not shown in the image but implied as 0.6)2. **Second Attempt (if she failed the first):** - Pass with probability 0.5 - Fail with probability (not shown but implied as 0.5)3. **Third Attempt (if she failed the second):** - Pass with probability 0.6 - Fail with probability (not shown but implied as 0.4)The answer bank on the diagram includes probabilities (0.40, 0.50, 0.60) that correspond to the chances of passing on each attempt. This image presents a tree diagram that is intended to track Elaine's progress through a series of events, labeled as "Fail" or "Pass." It includes an "Answer Bank" with probabilities: 0.40, 0.60, and 0.50.### Tree Diagram Explanation:- **Initial Node:** The diagram begins with a single node representing the starting point.- **First Branch:** - The first branch splits into two paths: - **Fail** (upper branch) - **Pass** (lower branch) - Each path includes a box where a probability from the "Answer Bank" can be inserted.- **Second Branch (Following "Fail"):** - The "Fail" path further divides into: - **Fail** (upper branch) - **Pass** (lower branch) - Each path again includes a box for probability input.- **Second Branch (Following "Pass"):** - The "Pass" path also splits into: - **Fail** (upper branch) - **Pass** (lower branch) - Again, boxes are provided for probabilities.The objective is to label each branch of the tree diagram with appropriate probabilities from the "Answer Bank" based on Elaine's likelihood of passing or failing at each stage.

From given data we have : the first try probability of passing is 0.40 Then probability of Fail= 1-0.40 =0.60 If he fails , then probability of passing in second attempt is 0.5 . Then probability second attempt of Fail = 1-0.5 = 0.5 If he fails then probability of passing in third attempt is 0.6 Then probability third attempt of Fail = 1-0.6 =0.4