A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. Construct a probability tree and calculate the probability that Paul picks a black ball in his second

Q: A salesman finds he can make one sale for every four calls he makes. If he makes five sales calls,…

A: Let, X=the number of sales he makes n=number of trials= 5 p=probability of success= 1/4=0.25 X…

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

A: Introduction: The partially completed tree diagram is already provided. It is required to find the…

Q: Six new graduates are hired by an engineering firm. Each is assigned at random to one of six…

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Q: Trisha has 2 boxes of marbles. She selects a marble from each box 100 times, replacing the marble…

A: Given, 2 boxes of marbles To find the probability of selecting red marble from the first box and…

Q: Three friends went for coffee, and they decided to toss a coin to determine who paid the bill:…

A: Three friends went for coffee, and they decided to toss a coin to determine who paid the bill:…

Q: A box contains 6 red balls, 7 yellow balls, and 2 green balls. All the balls are the same except for…

A: In the box are 15 balls (6 red balls, 7 yellow balls and 2 green balls) 3 balls are drawn in…

Q: A salesman finds he can make one sale for every four calls he makes. If he makes five sales calls,…

A: Let, X=the number of sales he makes n=number of trials= 5 p=probability of success= 1/4=0.25 X…

Q: A bag has three red marbles and five blue marbles. Two marbles are randomly selected one by one.…

A: Given that there are 3 red and 5 blue marbles. So total (3+5)=8 marbles. We can pick any 2 marbles…

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: In a five children family, find the probability that there will be at most 4 boys.

A: Given There are 5 children in a family.

Q: A bag contains 10 white as well as black balls. A person draws 6 balls and finds that 3 balls are…

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

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Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability…

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Q: uppose a jar contains 12 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: Solution: Given information: Red marbles = 12 Blue marbles = 36 Total marbles = 12+36 Total marbles…

Q: (a) If one student is selected at random from these 400 students, find the probability that this…

A: Given that    Juice  Iced Coffee  Total  Regular  210 75 285 Sugar free  95 20 115 Total…

Q: Use a probability tree to answer the following. A jar contains 5 red marbles, 7 green marbles, and 9…

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Q: high school with 200 students, 32 play football, 18 play basketball, 8 play both sports. If a…

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Q: There are two bowls. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The…

A:

Q: 4 out of 100 televisions in stock are defective. If you select two television at random, find the…

A: Introduction: There are 100 televisions, out of which, 4 are defective. Out of the 2 randomly…

Q: A committee of 5 persons is to be selected randomly from a group of 5 men and 10 women. (a) Find the…

A: Given that there are 5 men and 10 women. So total (5+10)=15 people.   We can select any 5 people in…

Q: In a five children family, find the probability that there will be at least 2 boys.

A: Given: n = 5 Probability of boy or a girl = 1/2 = 0.5

Q: On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas,  If 3 pieces of fruit are…

A: Givenon lunch counterNo.of oranges = 3No.of apples = 5No.of bananas = 2

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: In a five children family, find the probability that there will be at least 4 boys.

A:

Q: a box contain 4 apple candies and 5 orange candies. If Ana will pick one at a random what is the…

A: The number of apple candy is 4 and orange candy is 5. Total number of candy is 4+5 =9 Total number…

Q: In a class of 20 students, there are 12 girls and 8 boys. Three students are selected to be…

A: The probability that the first student selected to be teacher's assistant will be a girl is 12/20.

Q: If you are dealt three cards from a shuffle deck of 52 cards find the probability that all 3 cards…

A: Obtain the probability that all 3 cards are picture cards. The probability that all 3 cards are…

Q: A suitcase contains 7 T-shirts, 4 pairs of shorts, and 6 pairs of pants. If a piece of clothing is…

A: We know the formula for finding the probability of an outcome is favourable outcomesTotal outcomes

Q: Because not airline passengers show up for their reserved seat, an airline sells 125 tickets for a…

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Q: A teacher is picking names out of a hat to make groups to work in.  There are 15 students in the…

A: Given thatTotal number of students in the class N(T)=15Number of boys in the class N(B)=6Number of…

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

Q: An urn contains five white balls and six red balls. The second urn contains eight white balls and…

A: It is an important part of statistics . It is widely used .

Q: There are three groups. The first group contains 37 boys and 23 girls. The second group contains 47…

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Q: Erin buys a bag of cookies that contains 4 chocolate chip cookies, 5 peanut butter cookies, 8 sugar…

A: There are 4 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies and 7 oatmeal cookies.

Q: Calculate the probability of David winning the game contest if they are 18 boys and 15 girls…

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Q: (a) If one student is selected at random from these 400 students, find the probability that this…

A: Given that    Juice  Iced Coffee  Total Regular  210 75 285 Sugar free 95 20 115 Total 305…

Q: store has 4 red sport cars and 5 white sports car for sale. If two customers purchased a car, find…

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Q: Wes and his friend Anderson are taking a picture with 6 other people standing in a row. Find the…

A: Number of person standing in the row are 6.

Q: You are going to randomly choose 2 poker chips from a bag, one at a time, and record the color of…

A: Given, 6 red chips 3 blue chips 7 yellow chips Total = 16

Q: A box1 contains 6 red and 7 black balls. Another box2 contains 5 red and 4 black balls.One ball is…

A: Box 1 :  6 red and 7 black balls , Total = 13   Box 2 : 5 red and 4 black balls , Total = 9

Q: a bag there are 7 blue, 3 yellow, and 4 pink markers. If five markers are selected at random and the…

A: A: None are Pink B: None are yellow   The probability that none are pink is given by   The…

Q: In a box there are 3 red, 4 blue, and 5 white marbles.  If 3 marbles are selected at random and the…

A: Given that there are 3 red, 4 blue and 5 white marbles. Three marbles are selected at random and the…

Q: The probability that a person catches a cold during the cold and flu season is 04. Assume that 10…

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Q: Kay has an 80% probability of making a free-throw in basketball, and each free-throw is…

A: Multiplication Rule: Multiplication rule for two independent events A and B is given by:

Q: The probability that Ben gains admission into the university is 1/3 and that of Ama is 2/5. Find…

A: (a) Obtain the probability that both gain admission. The probability that both gain admission is…

Q: There are 30 marbles in a barrel. Each marble is red, yellow, or blue. There are 9 red marbles and…

A: Probability =Number of favourable outcomesTotal number of outcomes

Q: Determine whether the events are independent or dependent. Then find the probability.   In…

A: