A magician appears to be using a biased coin during one of their magic tricks. To find out whether this is true, the alleged unfair coin is flipped twice. The tree diagram below shows the probabilities of the different outcomes. A Tree Diagram showing the Probabilities of different outcomes
A tree diagram has a root that splits into 2 branches representing the outcomes of an event labeled Upper H and Upper T with probabilities StartFraction 3 Over 8 EndFraction and StartFraction 5 Over 8 EndFraction respectively. Each primary branch splits into 2 secondary branches, labeled Upper H and Upper T. The secondary branches have the following probabilities, with the primary and secondary branches listed first and the probability listed second: Upper H Upper H, StartFraction 3 Over 8 EndFraction; Upper H Upper T, StartFraction 5 Over 8 EndFraction; Upper T Upper H, StartFraction 3 Over 8 EndFraction; Upper T Upper T, StartFraction 5 Over 8 EndFraction.

Use the diagram to find the probability of getting one head and one tail (in either order).

Provide the final answer as a fraction.
Provide your answer below: