Question: A bag contains 8 red and 5 white balls. Two successive drawings of 3 balls are made such that (i) balls are replaced before the second trial, (ii) the balls are not replaced before the second trial. Find the probability that the first drawing will give 3 white balls, and the second 3 red balls.

Q: IV. PROBABILITY A. A Coin and a Die are tossed together, what is the Probability that a Head e on…

A: Given data: Two cards are drawn successively from a deck of 52 cards, To find: what is the…

Q: A box contains three coins: two regular coins and one fake two-headed coin (P(H) = 1), %3D • You…

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Q: Question * Suppose that a fast food restaurant can expect two customers every 3 minutes, on average.…

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Q: A fair die is rolled once. What is the probability of rolling a six and an even number?

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Q: A person tossing 4 dice. (a)What is the probability that all dice come up different values? (b)What…

A: GivenThe total number of possibilities on tossing a dice =6 {1, 2, 3, 4, 5, 6}Total number of dice…

Q: 100 people were asked their opinion about two movies. 70 of them liked the first movie, 50 of them…

A: Given,no.of people were like 1st movie=70no.of people were like 2nd movie=50no.of people were like…

Q: 1. If you roll two dice, what is the probability of throwing "snake eyes" (each die showing one dot…

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Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: Example 1 : In a certain college, 25% of boys and 10% of girls are studying mathemat The girls…

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Q: Caselet 3: Trailer Trucks in SRP The average number of trailer trucks that passed by the South Road…

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Q: 1. In a series of trials, you toss a pair of coins. What is the probability that on the 6th trial, a…

A: there are tossing a pair of coins together so the probability of getting two heads in single tossing…

Q: 20. BASEBALL If a pitcher is just as likely to throw a ball as a strike, find the probability that…

A: Let p represent the likelihood of a ball and let q represent the likelihood of a strike.We will…

Q: Example 29. Determine the probability of throwing (a) Three (b) an even number (c) multiple of 3…

A: Answer:

Q: 1. The table shows the number of deaths in the U.S. in a year due to a variety of causes. For these…

A: The total population of the USA is given to be312 million. The table below shows the number of…

Q: On a Sunday night, there are four people on a bus. The bus has five stops left before it ends its…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A small town holds a raffle once a week in which the winner gets $1000. Every one of the 100…

A: GIven information:  Probability of winning a prize each week = 1/100 = 0.01 Number of weeks given…

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: In a fair coin, there are two possible outcomes Head and Tail PHead = 12PTail = 12

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: 3. A life insurance salesman sells on the average 3 life insurance policies per week. Calculate the…

A: GivenOn the average 3 life insurance policies per weekλ=3Let "x" be the no. of policies sells in a…

Q: What is the probability that the city will be hit by a tornado next year?

A: Studies show that historically a certain city is hit by a tornado about once every 5 years. so here…

Q: 3) A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after…

A: Number of oranges is 6. Number of apples is 5. Number of children is 4.

Q: 3.1% of people eat anchovies on their pizza.  You work at a pizza parlor and a new jar of anchovies…

A: Geometric distribution: The probability mass function of geometric distribution is, Given,…

Q: 5. The volleyball team has a double-header on Friday. The probability that they will win both games…

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: 1. A full house in poker is a hand where three cards share one rank and two cards share another…

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Q: A coin is tossed three times. (a) What is the probability that the coin will land tails at least…

A: Solution:

Q: In a game of cards, a player draws a hand of five cards from a standard deck. What is the…

A: Total cards in a standard deck = 52 Total hearts in a deck = 13

Q: 6. In a survey, 30% of the people interviewed said they bought most of their clothes during the last…

A: Given data, n=9 p=30%=0.30 P(X=3)=?

Q: Example 39. The first twelve letters of the alphabet are written down at random. What is the…

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Q: A coin is flipped twice, and a die is rolled. What is the probability of the coin landing heads both…

A: Given that,  A coin is flipped twice and a die is rolled. To Find, The probability of the coin…

Q: Customers use an automatic teller machine at an average rate of 15 per hour.  What is the…

A: Given: Average rate, λ=12

Q: QI/ If three balls are randomly drawn from a bowl containing 6 white and 5 black balls, what is the…

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Q: This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets…

A: The box has 4 defective widgets and 8 acceptable widgets. So total (4+8)=12 widgets Probability of a…

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: Answer:

Q: What is the probability of drawing two aces from a standard deck of cards, given that the first card…

A: There are 13 aces and total 52 cards in a deck.  The probability of drawing first card that is ace…

Q: 3. A shopping website has a free section and a members-only section. When entering the members-only…

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Q: 3. Aplinko game is composed of a board and a disc. The player drops the disc at the top of the…

A: Given a plinko game is composed of a board and a disc as

Q: A student must choose to participate in two different events during field day. There are four track…

A: iven data isA student must participate in two different events.There are four track events…

Q: Three fair coins are tossed. What is the probability that not all of the coins show the same face?

A: Solution: Suppose three fair coins are tossed. The sample space is The number of outcomes in the…

Q: Employment data at a large company reveal that 51 % of the workers are married, that 43 % are…

A: From the provided information, 51% of the workers are married that is P (married) = 51% Married and…

Q: 3. (Rosner book – Page 110, Q: Infectious Disease) A study considered risk factors of HIV infection…

A: Given : Light users=40% Heavy users =55%   Note :As per guidelines only first 3 subparts have been…

Q: A couple has two children. What is the probability that they are both left handed, if the eldest is…

A: Given that a couple has two children Let the event that eldest is left handed ‘A’ Let the event that…

Q: 1. A coin is thrown three times. What is the probability that at least one head is obtained?

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Q: 3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he…

A: Given : A retailer sells two brands of batteries that experience indicates equal in demand. If he…

Q: A box contains three coins: two regular coins and one fake two-headed coin (P(H)=1), (a)  You pick a…

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Q: a marble from the bag, and then you randomly take another marble from the bag without returning the…

A: To find the probability of taking that the first marble is red and the second marble is blue.

Q: The number of marbles of different colors stored in a hat is listed below: • 1 red marble • 8 green…

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Q: A biologist experiments with a sample of three sharks and four stingrays. She wants to randomly…

A: Independent events are those, in which the outcome of one event does not affect the outcome of the…

Q: 28. Genders of Children Assume that for any given live human birth, the chances that the child is a…

A: Given : p = 50% = 0.50 q = 1 - p    = 1 - 0.50 = 0.50

Q: Question-3 a. Thirty percent of business travelers carry a laptop. In a sample of 17 business…

A: