(a). Let A and B be two events. Suppose that the probability that neither event occurs is 3/8. What is the probability that at least one of the events occurs? (b) Let C and D be two events. Suppose P(C) = 0.5, P(CND) = 0.2 and P((CUD)) = 0.4. What is P(D)?

Q: Two engines (one old and one new) fail independently of one another. The probability that both…

A: Independent events: Those two or more events are considered independent events if the appearance of…

Q: The probability that an American industry will locate in Shanghai, China, is 0.7, the probability…

A: Given, Let us consider, A be the event of American industry locate in Shanghai, China B be the event…

Q: Find the probability ​P(Ec​) if ​P(E)=0.25.

A: We want to find vlaur of people(Ec)

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Suppose that events E and F are​ independent, ​P(E)=0.4​, and ​P(F)=0.6. What is the P(E and F)​?…

A: Given that, Events E and F are independent, and P(E) = 0.4 P(F) = 0.6

Q: Find the probability P(Ec​) if ​P(E)=0.42.

A:

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  P(uncle josiah  show up)  = 0.38 P(aunt Beatrice show up) = 0.27 P(both show up) = 0.1…

Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

A:

Q: The probability that a student posts a picture on Facebook after attending a Michigan basketball…

A: Given thatP(F)=0.8P(T)=0.4We have to find the probability that either event will happen

Q: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

A:

Q: The probability of event ? is ?(?)=0.3, and the probability of event ? is ?(?)=0.25. Are ? and ?…

A: Given data, P(A)=0.3 P(B)=0.25 Are A and B disjoint?

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E and F) = 0. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3, P(F) = 0.5 and P(E and F) = 0.

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: On any particular Friday evening, the probability  that Jason will go to the mall and go for a…

A: event A : go to the mall event B : go for a coffee P(A∩B) = 13P(B|A) = 47P(A) = ?

Q: Find the probability P(Ec​) if P(E)=0.22.

A: Given: PE=0.22

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: Suppose P(F)=1/3,   P(E and F)=3/4 and P(E or F)=4/5 Find P(E). Can this really be a probability?…

A: P(E or F)=P(E)+P(F)-P(E and F)45=P(E)+13-34  [Plug the given…

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.