2. Please use the information in each table to answer the questions below. a. Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre. How many different playlists could Jeremiah create? Genre Number of songs Rock 4 Pop 2. Country Classical 8. b. William is drafting his fantasy basketball team. He needs to choose one player from each position. The following table shows how many players are available for each position. How many different teams could William draft? Position Number of players Point Guard Shooting Guard Small Forward Power Forward Center 10 12 7. 2 9.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
He can select rock songs in 4 ways, he can select pop songs in 2 ways, country songs in 7 ways, classical songs in 8 ways.
In genre is independent of the other. So by the counting principle the total number of ways to select the playlist is=
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