A box contains 6 green balls, 4 yellow balls and 2 black balls. If a ball is drawn at random from the box. Find the "odds against" of obtaining a *.""green ball or yellow ball

Q: A manufacturing machine has a 3% defect rate . If 9 items are chosen at random , what is the…

A: Given data, p=3%=0.03 n=9 P(X>=1)=?

Q: A manufacturing machine has a 3% defect rate. If 7 items are chosen at random, what is the…

A: Let x follows binomial distribution with parameters n = 7 and p = 0.03   The pdf of binomial…

Q: A manufacturing machine has a 3% defect rate. If 6 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=3%=0.03 The number of items chosen is: n=6   The…

Q: Find the probability of drawing 3 aces at random from a deck of 52 ordinary cards if the cards are…

A: Given information is Total Number of cards in a deck = 52  No of Ace cards in a deck = 4   Now we…

Q: Determine the probability of drawing 5 black cards in a row (with replacement) from a standard deck.

A:

Q: A three-digit number is made by choosing three different digits from 2, 3, 5, 7 and 8. What is the…

A: Given information: A three-digit number is to be made from the numbers 2, 3, 5, 7, and 8. The…

Q: Suppose that 69% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the…

A: A manufacturing machine has a 5% defect rate.If 4 items are chosen at random, what is the…

Q: A manufacturing machine has a 9% defect rate. if 8 items are chosen at random, what is the…

A: Given Information: p=9%=0.09n=8

Q: A bag contains 10 balls consisting of 4 green, 3 blue and 3 red balls. If two balls are chosen…

A:

Q: A manufacturing machine has a 4% defect rate. If 8 items are chosen at random, what is the…

A:

Q: A box contains 6 green balls, 4 yellow balls and 2 black balls. If a ball is drawn at random from…

A: Given: Green balls =6 Yellow balls = 4 Black balls = 2 Total number of balls = 12 The odds against…

Q: A manufacturing machine has a 5% defect rate. If 3 items are chosen at random, what is the…

A: Let "X" be the manufacturing machine has a defect.

Q: What is the probability of positive integers less than or equal 120 that divisible by either 4 or 9?

A: Number of positive integers less than or equal to 120 that are divisible by 4 or 9, means that are…

Q: A manufacturing machine has a 10% defect rate. If 7 items are chosen at random, what is the…

A: From the provided information, A manufacturing company has 10% defect rate that is p = 0.10 Sample…

Q: A single card is drawn from a standard deck of 52 cards. What are the odds against drawing a card…

A: In a standard deck of 52 cards there are 4 suits, Each suit contains 13 cards with number…

Q: Find the probability of drawing a queen, a king and a knave in that order from a pack of cards in…

A: Total number of cards in a deck of cards = 52 There are 4 queens, 4 kings and 4 knaves.

Q: A single card is drawn from a standard deck of 52 cards. What are the odds against drawing an odd…

A: The number of odd numbered cards in a suit is (A, 3, 5, 7, 9). Therefore, in a standard deck of 52…

Q: Find the probability that in tossing a fair coin three times, there will appear not more than 1…

A: Let p be the probability of getting a tail in one toss, then p = 0.5 (Since coin is fair) Let X…

Q: A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the…

A: 1) It is given that p=0.10 and n=3.

Q: Find the probability of drawing 4 aces at random from a deck of 52 ordinary cards if the cards are…

A: here total cards in deck = 52

Q: Suppose you draw five cards (without replacement) from a standard deck of 52 playing cards. What…

A: The total cards in a standard deck = 52 Total ace = 4

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

A:

Q: If three cards are drawn from a deck, what is the probability that at least one of the cards will be…

A: select 3 card from deck of 52 card    there are 12 face cards in deck   P(atleast one face card…

Q: Compute the probability of randomly drawing 8 cards from a deck and getting exactly 6 spades.

A:

Q: Three numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 3- digit number. What…

A: Explanation: It is given that three numbers are selected without replacement from {1, 2, 3, 4, 5, 6,…

Q: Four numbers are selected without replacement from {1,2,3,4,5,6,7}{1,2,3,4,5,6,7} to form a 4-digit…

A: Given Information: Four numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 4…

Q: from the given numbers 10, 17,19,20,22 what is the probability of drawing an odd number, not…

A: The probability of drawing an odd number, not replacing it, and then drawing the number 20 is given…

Q: A single card is drawn from a standard deck of 52 cards. What are the odds against drawing a card…

A:

Q: A manufacturing machine has a 5% defect rate. If 6 items are chosen at random, what is the…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: Given, 50 boxes are labeled as 1 to 50 and each box has 1 red and 1 blue ball To find the…

Q: A manufacturing machine has a 8% defect rate. If 3 items are chosen at random, what is the…

A: From the provided information, A manufacturing machine has an 8% defect rate that is p = 0.08 Sample…

Q: There are 15 red, 15 blue, and 15 yellow marbles in a bag. What is the probability of drawing 2…

A: Given that a bag contain 15 red, 15 blue, 15 yellow marbles. Total marbles in a bag= 15 red +15 blue…

Q: A manufacturing machine has a 3% defect rate. If 4 items are chosen at random, what is the…

A: Here, X denotes that the item is defective, which follows binomial distribution with n=4 and p=0.03.…

Q: Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability…

A: Total number of cards = 52 Number of 2's = 4 Number of Ace = 4

Q: What is the probability that the number is even or divisible by  3 one  die is  rolled ?

A: When one die is roll than possible even numbers are 2,4,6. And number divisible by 3 are 3,6.

Q: A manufacturing machine has a 2% defect rate. If 7 items are chosen at random, what is the…

A: Let us denote  X=the number of items that are defective n=number of trials=7 p=probability of…

Q: Suppose that 68% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A container has 4 red balls and 4 green balls. If a ball is ground then what is the probability of…

A: There are 4 red balls and 4 green balls. So total (4+4)=8 balls are in the container. So the…

Q: Two balls are selected at random from an urn that contains six black balls and six red balls. What…

A:

Q: Suppose that 13% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A manufacturing machine has a 2% defect rate. If 8 items are chosen at random, what is the…

A: Let X be the number of defected machine from binomial distribution with probability (p) = 2% = 0.02…

Q: A single card is drawn from a standard deck of 52 cards. What are the odds in favor of drawing a…

A: The following are the formulas for odds in favor & odds in against of an event odds in favor of…

Q: A manufacturing machine has a 2% defect rate. If 4 items are chosen at random, what is the…

A: Let X be the number of machines that are defective. Let success be considered as defective. Then, if…

Q: A bag contains twenty casino chips which are used to represent cash. Five chips have a value of $10…

A:

Q: A manufacturing machine has a 5% defect rate. If 10 items are chosen at random, what is the…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: A manufacturing machine has a 2% defect rate. If 9 items are chosen at random, what is the…

A: Binomial distribution is given by

Q: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the…

A:

Q: nufacturing machine has a 9% defect rate. If 7 items are chosen at random, what is the probability…

A: This is the case of binomial, as there are only two possible outcomes that are independent and where…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.