1. If a card is drawn from a pack of 52 cards of which 26 are black (13 spades A, 2, 3, ... , 10, J, Q, K); 13 are clubs); and 26 are red (13 hearts and 13 diamonds), find the probability that the card is black. diamonds), find the probability that the card is a. a K. b. Red. c. Diamond.
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.
1. If a card is drawn from a pack of 52 cards of which 26 are black (13 spades A, 2, 3, ... , 10, J, Q, K); 13 are clubs); and 26 are red (13 hearts and 13 diamonds), find the probability that the card is black. diamonds), find the probability that the card is
a. a K.
b. Red.
c. Diamond.
5. We want to select a coin at random from a container containing an unknown number of $200, $100, $500 and $1000 coins. To determine the probability of each possible event, we select 50 coins at random with replacement (the selected coin is returned to the container for the next selection) from this container.
The following table summarizes the frequencies (occurrences) of each coin.
Based on the data collected, if we select a coin from this container,
a. what is the probability that it is $200?
b. what is the least likely event?
c. what is the event we should predict?
6. You have accidentally sat down on your cell phone, and every time you move, different numbers are different numbers are dialed in your address book. You have 16 numbers stored, and you call 4 of them before you stand up. What is the probability that Mary, Lulu, Bo, and Dan have received a call? received a call?
7. A student randomly answers 70 questions on a test, if each question has 5 alternatives and only one of them is correct. What is the probability that he/she will get the maximum score? maximum score?
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