(a) Two dice are rolled. Define the random variable X as the sum of the two dice. List the outcomes contained in the event {X = 8}. Write each outcome as an ordered pair, and list the ordered pairs separated by commas. For example, {X = 4} = (1, 3), (2, 2), (3, 1) {X = 8} : (b) Find the probability of the event {X = 8}. Enter your answer as either a fraction or a decimal. %3D P(X = 8) =

Q: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…

A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events.  Since they are independent events,…

Q: If 1000 tickets are sold for a raffle, find the probability of winning if an individual purchases…

A: Given: The total number of tickets sold for the raffle: 1000 tickets. a)- If an individual purchases…

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: The market research team of a company requires some household data from four different cities. The…

A: The market research team of a company requires some household data from 4 different cities. The tea…

Q: Find the probability that Steven and Simon are in different tax

A: probability that steven and simon are in the same taxi there are 4 people in taxi 1 and 3 people in…

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: Let the probability of success in shooting player A is 1/4, and the probability of success in…

A:

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: A shooter has 4 bullets. He shoots at the target until he hits it for the first time . And stop…

A: Given that, a shooter has 4 bullets. He shoots at the target until he hits it for the first time and…

Q: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: A couple has three children, find the probability that Only the 2nd child is a girl by using…

A: Given:  The number of children a couple has is n=3. Assuming the girls and boys are equally likely.…

Q: Three locks can safely lock the door with the probabilities of 0.7, 0.8, and 0.95, respectively.…

A:

Q: Which pairs of events are independent? P(A)=0.55, P(B)=0.65 p(A&B)=0.35?

A: Two events are said to be independent if PA and B=PA·PB.

Q: Number plates in an Arab country consist of 3 letters (chosen from a specified set of 20 letters…

A:

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

Q: If probability of an event A is= .3 The probability of an event B= .4 The probability of (A…

A:

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A:

Q: A group of people were asked if life exists elsewhere in the galaxy. 270 responded "yes", and 478…

A:

Q: For this problem, assume that you weigh 350 duck hatchlings. You find that 50 are slightly…

A: (1) The probability that should be assigned to a single duck hatchlings being slightly underweight…

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: There is a survey having only 2 options(yes/no).The survey has 7 questions and the person answering…

A:

Q: A family has 5 children, either boy or girl. The probability of each outcome is equal. Let A="the…

A: Given A="the first child is a girl"We can have first child to be girl in 1 way only.For each other…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 black ​balls, 7 orange…

A: There are 6 black balls, 7 orange balls are 7 red balls in the bag.

Q: For this problem, assume that you weigh 400 duck hatchlings. You find that 67 are slightly…

A: Given information, Assume that you weigh 400 duck hatchlings. You find that 67 are slightly…

Q: Are the events A intersect B and the B intersect the same? Why

A:

Q: Three guys Kojo, Mensah and Jack were required to fire and hit a target once as part of their…

A: It is given that the probability that Kojo, Mensah and Jack hit the target are 1/2, 1/5 and 3/4…

Q: flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3…

A: Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Q: 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given Total tickets=30

Q: For this problem, assume that you weigh 500 duck hatchlings. You find that 93 are slightly…

A: Given data: The total numbers of ducks are N=500. The numbers of slightly underweight ducks are…

Q: Find the probability that either event A or B occurs if the chance of A occurring is 0.5,the chances…

A: