The probability of mary,esther and john coming to school late on monday are 1/4,2/5 and1/3 respectively.draw a tree diagram to represent the information .
ok - now what?
To draw a tree diagram representing the information, we'll start with the "Monday" node, and then branch out to the three individuals: Mary, Esther, and John.
Here's the tree diagram:
```
Monday
/ | \
/ | \
Mary Esther John
(1/4) (2/5) (1/3)
```
Each branch represents the probability of that person coming late on Monday. The probabilities are given next to their respective branches.
To draw a tree diagram to represent the given information, follow these steps:
Step 1: Start by drawing a horizontal line as the trunk of the tree diagram.
Step 2: At the left end of the line, write "Monday" as the first event.
Step 3: From "Monday," draw three branches starting vertically or diagonally upward. Label these branches as "Mary," "Esther," and "John," respectively to represent the three individuals.
Step 4: From each branch, draw sub-branches slanting further upward to represent whether each person comes late or not.
Step 5: Label the sub-branches with the respective probabilities of coming late. In this case, the probability of Mary coming late is 1/4, Esther is 2/5, and John is 1/3.
Step 6: At the end of the sub-branches, write the respective outcomes: "Late" and "On time."
The final tree diagram will have "Monday" as the root event, with three branches for each individual (Mary, Esther, and John), and two sub-branches for each individual representing "Late" and "On time" outcomes.
It should look something like this:
Monday
/ | \
Mary Esther John
/ | | \
Late On Time Late On Time Late On Time
The probabilities are written on the sub-branches connecting the individuals to the outcomes.