Given P(A) = 0.78, P(B) = 0.49, P(C) = 0.45 and that events A, B, and C are independent, what is P(A, B, and C)

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: Let A and B be events with P(A) = 0.8, P (B) = 0.4, and P (B|A) = 0.2. Fins P(A and B).

A: There are two events A and B given with probabilities such as PA=0.8, PB=0.4, and PB|A=0.2.

Q: Suppose P(C) = .70, P(D) = .20, and events C and D are independent. Find: a) P(C and D) b P(C or D)

A: It is provided that P(C) = 0.70, P(D) = 0.20 and the events C and D are independent.(a) P(C and D) =…

Q: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) = 0.5. Are C and D independent?…

A:

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: For two events, A and B, we have P(A) = 0.8, P(B) = 0.7, and P(AUB) = 0.9. Then, the value for P(BA)…

A: Given that  P(A) = 0.8, P(B) = 0.7, and P(A U B) = 0.9.

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and…

A: Given that two events E and F are independent.

Q: Let A and B be events with P(A) =0.4, P(B) =0.7, and P(B|A) =0.5. Find P (A and B).

A: The question is about prob. of events Introduction : If A and B are two events then the condition…

Q: Given P(A) = 0.27, P(B) = 0.19, and P(A or B) = 0.46, are events A and B mutually exclusive

A: Given,  P(A) = 0.27 P(B) = 0.19 P(A or B) = 0.46

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.78, and P(A AND B)=0.12, find P(B).

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment and…

Q: 1). If three events, A, B, and C, are such that P(A) = 0.5, P(B) = 0.3, P(AUC) = 0.65 and P(An B)=…

A: P(A) = 0.5 P(B) = 0.3 P(A∪C) = 0.65 P(A∩B) = 0.1 Concept : P(A∪B) = P(A) + P(B) - P(A∩B) P(A|B) =…

Q: Given P(A) = 0.18; P(B) = 0.51 , P(C) = 0.36 and that events A , B, and C are independent, what is…

A: It is given that  P( A ) = 0.18 P( B ) = 0.51 P( C ) = 0.36

Q: Given PIA and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent?…

A: Concept: If two events A and B are independent then P(A and B) = P(A).P(B) otherwise events are…

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.