Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement. G1 = the first card drawn is green G2 = the second card drawn is green a. P(G1 and G2) = b. P(At least 1 green) = c. P(G2|G1) = d. Are G1 and G2 independent? They are independent events They are dependent events

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.54. Find: a. P(U and V) = b. P(U|V) =…

A: It is given that P(U)=0.33 and P(V)=0.54.

Q: Use the Test for Independence to determine if events A and B are independent. P(A)=0.9, P(B) = 0.5,…

A: Given: P(A)=0.9, P(B) = 0.5, P(A n B) = 0.54 To find: Use the Test for Independence to determine if…

Q: You have three red cards numbred 1,2,3 and two orange cards numbered 1,2. Finding the following…

A: Given information Number of red cards = 3 Number of orange cards = 2

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

A:

Q: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

A:

Q: Leon and Zack are playing a game with dice. Leon rolls the dice first, and Zack rolls second. Are…

A: The objective is to check whether two events are dependent or independent.

Q: Sarah has two tests at school next week, a math test and a physics test. Let A represent the event…

A: According to the provided information, P(A)=0.30 and P(A AND B)=0.21,

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: Q14. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:…

A:

Q: Hudson has two pairs of black shoes and three pairs of brown shoes. He also has three pairs of red…

A:

Q: You have read 200 of the 400 novels in your home, but your sister Roslyn has read 100, of which only…

A: Solution-: We want to find the following (a) You have read 200 of the 400 novels in your home, but…

Q: Please state if the answer istrue or false. Thank you Two events, A and B, are independent if P(A…

A: Given statement is,  Two events, A and B, are independent if P(A and B) = P(A) × P(B)

Q: Hello. I appreciate any help. Thanks.

A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…

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 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

A:

Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

A:

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: A and Bare independent events. P(A) = 0.50 and P(B) = 0.20. %3D What is P(A and B)? O A. 0 B. 0.10…

A: We have given that,  A and B are two independent events with P(A)=0.50 and P(B)=0.20 Then,  We will…

Q: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

A: Given that P(G) = 0.34, P(H) = 0.32, and P(G ∪ H) = 0.53 What is P(G|H) ?

Q: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

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: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

A:

Q: Two events A and B are said to be independent if P(A|B) = P(B).  True  False

A: Here use basic of independent event

Q: Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) =…

A:

Q: Decide whether the following pairs of events are dependent or independent C is the event that it…

A: Given that  C= the event that it rains more than 10 days in Chicago next June D= the event that it…

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.