Suppose you and your roommate use a coin-flipping app to decide who has to take out the trash: heads you take out the trash, tails your roommate does. After losing a number of flips, you start to wonder if the cain-fippine app really is totally random, or if it is biased in one direction or the other. To be fair to your roormmate, you wish to test whether the app is biased in either direction, and thus a two tailed test is appropriate. You borrow your roommate's phone long enough to flip the virtual coin 16 times and you get 12 heads and 4 tails, To test the two-taled nuil hypothesis, you wil have to look at the probabilties) of which pessible ourcomes? O Getting 0 heads O Getting 1 head O Getting 2 heads O Getting 3 heads Getting 4 heads OGetting 5 heads OGetting 6 heads OGetting 7 heads Getting 8 heads O Getting 9 heads Getting 10 heads O Getting 11 heads O Getting 12 heads O Getting 13 heads Getting 14 heads O Getting 15 heads Getting 16 heads
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.
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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.
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