Answer:
0.46
Step-by-step explanation:
A tree diagram shows all possible outcomes of two or more events.
Each branch is a possible outcome and can be labelled with the probability. The outcome is written at the end of the branch.
When using tree diagrams to calculate the overall probabilities:
- Multiply probabilities along the branches.
- Add probabilities down the columns.
The possible outcomes that Ian wins one event and loses the other are:
Therefore, to find the probabilities of these two outcomes, trace along the branches, multiplying the given probabilities:
[tex]\sf P(Win\:and\:lose)=0.7 \times 0.4 = 0.28[/tex]
[tex]\sf P(Lose\:and\:win)=0.3 \times 0.6 = 0.18[/tex]
Finally, add them together:
[tex]\sf P(Win\:and\:lose)\:OR\:P(Lose\:and\:win)= 0.28+0.18=0.46[/tex]
Learn more about tree diagrams here:
https://brainly.com/question/27947487
