If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F).

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

A:

Q: A and B are two events. If P(A) = 0.20. P(B) = 0.31. P(A/B) = 0.62. Find P(A and B)?

A: Answer: From the given data, P(A) = 0.20 P(B) = 0.31 P(A|B) = 0.62

Q: If A and B are independent events such that P(A) = 0.2600 and P(A N B) = 0.2054. Find P(B). %3D

A:

Q: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

A:

Q: Suppose that A and B are independent events such that P(B) = 0.70 and P (B)=0.20. Find P(An B) and P…

A: Given thatA and B are independent events.such that

Q: If P(ENF) = 0.081, P(E|F) = 0.18, and P(FE) = 0.2, then (a) P(E)= (b) P(F)= (c) P(EUF)= (d) Are the…

A: P(E∩F)=0.081 P(E|F)=0.18 P(F|E)=0.2

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

Q: {10.2}   Suppose that events E and F are​ independent, ​P(E)=0.7​, and ​P(F)=0.6. What is the P(E…

A: Given that  ​P(E)=0.7​, and ​P(F)=0.6 P(E and F)=P(E∩F) If E and F are independent.  P(E∩F)=…

Q: Suppose A and B are independent events. If P(A) = 0.45 and P(B) = 0.35, find each of the following:…

A:

Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: If A and B are independent events with P(A) = 0.30 and P(A and B) = 0.15, then Find P(B).

A: Here For 2 independent events A and B  P(A)= 0.3 P(A and B) =0.15

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: U and V are mutually exclusive events. P(U)=0.15 ; P(V)=0.49 Find P(U orV) =

A: Two events U and V are said to be mutually exclusive events when both cannot occur at the same time.

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A: Solution-: Given: P(A¯)=0.70 , P(B)=0.20 and P(B) =0.20  (A and B are independent event) We want to…

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.6. Find:  a.  P(U and V) =  b.…

A: When A and B are mutually exclusive events,  then  P(A∩B)= 0 P(AUB)=P(A or B) = P(A)+ P(B)-…

Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: Suppose that events E and F are independent with P(E)=0.65 and P(F)=0.72 What is P(E andF)? Round…

A: P(E)=0.65 P(F)=0.72 The events E and F are independent .

Q: E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

A: According to the provided information, P(E) = 0.15; P(F) = 0.71 Since E and F are mutually exclusive…

Q: Suppose that events E and F are independent with P(E)= 0.5 and P(F) = 0.7 What is P( E and F )…

A: Answer: From the given data, Suppose that events E and F are independent  P(E) = 0.5 P(F) = 0.7

Q: J and K are independent events. P(J | K) = 0.93. Find P(J) P(J) =

A: A and B are the Independent Event if P(A ∩ B) = P(A) P(B)

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: U and V are mutually exclusive events. P(U)=0.55 ; P(V)=0.32 Find P(U AND V) =

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.

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.