a. Find the probability that Adele 1 is selected as the first song to play from the playlist. The probability is. (Simplify your answer.) b. Given that Adele 1 is selected as the first song, what is the probability that Adele 2 is selected as the second song to play from the playlist? The probability is (Simplify your answer.) c. Given that Adele 1 and Adele 2 are the first two songs selected, what is the probability that White Stripes 1 is selected as the third song to play from the playlist? The probability is. (Simplify your answer.)
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.
![e. Given that Adele 1, Adele 2, White Stripes 1, and White Stripes 2 are the first four songs selected, what is the probability that Maroon Five is selected as the fifth song to play from the playlist?
The probability is
(Simplify your answer.)
f. Find the probability of List A by multiplying the probabilities in parts a-e.
The probability is
(Simplify your answer.)
g. Many users considered List B to be random, but not List A. Demonstrate that the probability of List B is the same as the probability of List A. [Note: In response to user complaints, the music-streaming service now uses a different
random shuffling algorithm, one that prevents an outcome like List A from occurring.]
Repeat parts a through f using List B.
P(Adele 1 = first) =|
P(Adele 2 = second | Adele 1=
first) =
P(White Stripes 1= third | Adele 1 & 2 = first two) =|
P(White Stripes 2 = fourth | Adele 1 & 2, White Stripes 1 = first three) =
P(Maroon Five = fifth | Adele 1 & 2, White Stripes 1 & 2 = first four) =
P(List B) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd536dea9-7bb4-47a7-9008-08389ad9bd84%2F4ff8ef00-7999-4a8b-b5d6-cb676883e2da%2Fq06ar76_processed.png&w=3840&q=75)
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