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 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).
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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 has a root that splits into 2 branches representing the outcomes of an
Use the diagram to find the probability of getting one head and one tail (in either order).
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