What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

Q: If we draw 8 cards from a standard 52 card deck, what is the probability that all 8 cards are hearts…

A: In a deck of 52 playing cards 13 cards are hearts .The question is to find the probability of…

Q: The incidence of occupational disease in an industry is such that the workmen have a 20% chance of…

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Q: Two coins are tossed simultaneously. What is the probability of tossing two heads?

A: When a coin is tossed there are two possible outcomes heads (H) and tails (T). When three coins are…

Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

Q: According to FBI data 12% are cleared. What is the probability that the detective clears five…

A: Binomial distribution : A Binomial is a type of distribution which has two possible outcomes. i.e.,…

Q: When five dice are rolled, what is the probability of getting a full-house

A: There are 5 dices, Sample space = 65 = 7776

Q: The average number of people who die in a month from a rare disease in a city is 4. From this…

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Q: What is the probability of getting at least 7 heads when 20 coins are tossed?

A: Given that, 20 coins are tossed.

Q: In a mall there is a clothing seller who does a discount. If there are 10 out of 45 people who visit…

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Q: A fair coin is tossed until a head appears. What is the probability that more than three tosses are…

A: When a fair coin is tossed, The probability of getting head is 0.5 The probability of getting tails…

Q: A race consists of 11 women and 7 men. What is the probability that the top three finishers were 1…

A: There are total (11+7)=18 persons.We can pick top 3 finishers from 18 persons in 18P3=4896 ways.We…

Q: b. A life insurance salesman sells on average 4 life insurance policies per week. i. Find the…

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Q: What is the probability of getting at least one red ball when drawing 4 balls from a box containing…

A: Given that a box contains 3 red balls, 4 white balls and 6 yellow balls and 4 balls are drawn from…

Q: Two cards are drawn in succession from a deck without replacement. What is the probability that both…

A: In a deck of 52 cards No of cards greater than 5 and less than equal to 8 is 6,7,8 Total cards = 3 x…

Q: If we draw 7 cards from a standard 52 card deck, what is the probability that all 7 cards are…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: A coin is thrown 3 times. What is the probability that ?at least one head is obtained

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: A manager of a café estimates that an average regular customer visits the store 4 times in a week (7…

A: GivenOn average customer visits the store 4 times in a week(7 days)λ=4 times per weekLet "x" be the…

Q: An old cannon hits the target with 0.25 probability. What is the probability that it hits the target…

A: Given information- Probability of hitting the target, p = 0.25 = 1/4 Probability of missing the…

Q: Two cards are drawn in succession from a deck without replacement. What is the probability that a.…

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Q: An urn contains six green balls and five red balls. What is the probability that a ball chosen at…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: 2. The probability that a rifleman hitting the target is 40%. Suppose he fires 8 times, what is the…

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Q: A pair of dice is rolled. What is the probability of getting a sum less than 7?

A: When a pair of dice are rolled then there are (6x6)=36 cases, because each die has 6 outcomes.  If…

Q: What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

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Q: A hospital switch board receives an average of 4 emergency calls in 10 minutes interval. a) What is…

A: Givenan average of 4 emergency calls in 10 minutes intervalλ=4x~Poisson(λ=4)P(X=x)=e-λ×λxx!   ;x≥0

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: In a math class with 21 students, a test was given the same day that an assignment was due. There…

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Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: Given that the probability that South Florida will be hit by a major hurricane (category 4 or 5) in…

Q: A box contains 5 red, 3 black and 4 oranges balls. Five balls are drawn at a time from the box. What…

A: A box contains 5 red, 3 black, and 4 orange balls. Five balls are drawn at a time from the box.…

Q: what is the probability that it is a valid number?

A: A credit card contains 16 digits between 0 and 9 so , here total possible 16  digits numbers = 1016…

Q: A bag contains 4 balls, and 5 red balls. One ball is drawn from the bag. What is the probability…

A: Total blue balls= 4 Red balls= 5 Total Balls= 4+5 = 9 Probability of selecting Blue ball, P(B)= 4/9…

Q: A jar contains 37 red marbles and 23 blue marbles. Two marbles are drawn from the bag, without…

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Q: Three coins are tossed. What is the probability of getting 3 tails or at least 2 heads?

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Q: What is probability of getting a total of 6 or 10 when a pair of dice is tossed?

A: I solved exactly first question because of bartleby policy if you want more please uplode…

Q: On average, a certain call center receives 73 calls per hour. a. What is the probability that in a…

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Q: 8) According to the American Academy of Ophthalmology, there is a 27% chance that someone will have…

A: Given that  n=7 , p=27%=0.27 , q=0.73 X~Binomial(n=7,p=0.27) X=Number of people have blue eyes…

Q: A. What is the probability that a randomly selected person who buys more than 2 pairs of jeans is…

A: From the provided information,   0 pairs 1 pair 2 pairs More than 2 pairs Totals…

Q: white balls,  and

A: Given as, 6 red balls, 8 green balls, 4 white balls, 2 yellow balls.

Q: A mortgage advisor sells on average 3.5 mortgages every two weeks. i. What is the probability that…

A: (i) Obtain the probability that they sell 5 mortgages in a two week period. The probability that…

Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

A: We know that, if we roll a die, we may get {1,2,3,4,5,6} as possible values. So, if we roll 3…

Q: A store sells on average 1.4 cars per day. What is the probability that it will sell at least 2 cars…

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Q: Two fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

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Q: fair 2-sided coin is tossed 3 times. What is the probability that the coin lands on heads at most…

A: Given that : fair 2-sided coin is tossed 3 times Total outcomes (N) = 23  = 8  X = number of heads…

Q: What is the probability that the customer is at least 20 but no older than 40? What is the…

A: The total number of customers is 100+71+66+60+92+87 =476.

Q: An urn contains 3 red balls, 5 green balls and 2 yellow balls. An experiment consists of picking 3…

A: Given Red Balls = 3 Green Balls = 5 Yellow Balls = 2 Number of balls to be chosen = 3 Number of…

Q: A fair die is rolled four times. What is the probability of obtaining a 5, 3, 5, and 5, in that​…

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Q: MomCorp is selling its new eyePhone on the market. One of the less popular stores, however, only…

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Q: ) What is the probability that they are female? ; What is the probability that they exercise for…

A: It is given that Total number of persons = 100 Number of females = 55 Number of persons who exercise…

Q: Two fair dice are rolled. What is the probability of getting doubles (two dice showing the same…

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Q: A box contains 3 red, 3 white and 4 green balls. Two balls are drawn out of the box in succession…

A: In this question we find the probability for drawing two ball of same color from the box. Box has…

Q: A store sells on average 1.9 cars per day. What is the probability that it will sell at least 2 cars…

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