Let A and B be events with P(A)= and P(AUB) = find o P(A\B) ナ O P(AAB),a P(A\B°)

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

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Q: Find P(A and B) if P(A) is 0.3 and the P(B) is 0.4, and events A and B are independent.

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Q: Let A and B be two events such that P(A) = 1/7, P(AUB) =1/2, and P(AB) =1/2  Determine P(B)

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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: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

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Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

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Q: Suppose A and B are mutually exclusive events, and that P(A)=0.13 and P(B)=0.85. Find P(A OR B)

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Q: if A and B are disjoint events with P(A) = 0.20 and P(B) = 0.50 Then P(A/AUB) =

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Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

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Q: If A and B are events with P(A)=0.2, P(A OR B)=0.74, and P(A AND B)=0.06, find P(B).

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Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

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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: If A and B are two independent events such that P(AUB) = 0.8, and P(A) 0.3, %3D then Find P(B)?

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Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

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Q: Suppose that A,B, and C are independent events such that P(A) = 0.8,P(B) = 0.5, and P(C) = 0.3. Find…

A: The Special Multiplication Rule

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…

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Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: If it is impossible for events A and B to occur simultaneously, the events are said to be________ .…

A: Two events are called mutually exclusive if they cannot occur at the same time.   Therefore, If it…

Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

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Q: 1) Let P(A) = 0.2, P(B) = 0.6 and P(A or B) =0.5. Are events A and B mutually exclusive? Why or why…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

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: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

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Q: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

Q: A and B are events such that P(A) = 0.2, P(B) = 0.6, and P(A&B) = 0.1. Find P (A or B).

A: Given: P(A) =  0.2, P(B) = 0.6 and P(A and B) = 0.1

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: 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: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

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: Let A and B be two events such that P(A)=1/7, P(AUB)=1/2, and P(AB)=1/12. Determine P(B)

A: From the provided information, P (A) =1/7 P (A Ս B) = 1/2 And P (AB) = 1/12

Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

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Q: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

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Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

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Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Since the events A and B are independent, the events A and are also independent.

Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…

Q: If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A U B) = 0.80 0.12 0.72…

A: Solution

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: if a and b are two events with p(a)=0.5 and p(a and b)=0.1, then P(BIA)=

A: Assume, A and B be any two events, P(A) denotes the probability of happening of event A and P(B)…

Q: A and B be events with P(A) = 0.6, P(B) =0.7, and P(B|A) = 0.5. Find P(A and B). P(A and B) = |

A: We have to find p(A and B)= ?

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

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Q: AA and BB are independent events. If Pr[A]=0.3Pr[A]=0.3 and Pr[B]=0.5Pr[B]=0.5, what is…

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Q: If A and B are events with P(A)=0.3, P(A OR B)=0.91, and P(A AND B)=0.09, find P(B).

A: Given that, A and B are two events, P(A) = 0.3 P(A or B) = 0.91 P(A and B) = 0.09

Q: IHA and B are mutually exclusive events with P(A) = 0.40 and P(B) = 0.20, then PAIB) is: 0.5 0.4…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B|A) = 0.2. Find P(A and B).

A: If A and B are independent then P(A and B)= P(A n B) = P(A)*P(B) If A and B are not independent then…

Q: Let A and B be events with P(A) =t P(B) = 1 and P(AUB) = 1 Find (i) P(A |B), (ii) P(B|A), (iii…

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Q: Let A and B be events with P(A) = 0.5, P(B)=0.95, and P(B|A) = 0.1. Find P (A and B). P(A and B) =

A: Given that, P(A) = 0.5P(B) = 0.95P(B|A) = 0.1

Q: Suppose events A, B, and C are independent and 1 1 P(A) = 6. %3D 42 Find the probability P(AUB).

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Q: Let A and B be events with P(A) = ½ , P(B) = 1/3, and P(AUB) = 7/12. Find (P(A∩B)

A: From the given information, the known values are: P(A) = ½ , P(B) = 1/3, and P(AUB) = 7/12 The…

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.