We shall let the sample space consist of all subsets (unordered) of 10 out of the 24 light bulbs in the 24 box. There are such subsets. The number of subsets that contain the two defective bulbs is the 10 number of subsets of size 8 out of the other 22 bulbs, 22 so the probability we want is

Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

Q: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: Lots of 40 components each are dimmed and acceptable if they contain 3 or more defective. The…

A: Hyper geometric distribution is a type of discrete distribution. It is used to estimate the…

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: Your friend selects one of two dice, a 6- sided or a 4-sided, with equal probability, and rolls it…

A: GivenThere are two dice 4 sided and 6 sided. The probability of selecting 4 sided dice P(4…

Q: A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…

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

Q: what is the probability the he or she will answer correctly (a) at least 6 problems?

A:

Q: A poll is given showing 50% are in favor of a new building project. If 9 people are chosen at random…

A: Given data, p=0.50 n=9 P(X=3)=?

Q: The sample space contains 7As and 6 Bs. What is the probability that a randomly selected set of 3…

A:

Q: the probability that a number selected from the numbers (1, 2, 3,......,15) is a multiple of 4?

A:

Q: The tickets in a box have an average value of 75, and the SD is 10. Twenty-five draws are made at…

A:

Q: What is the probability that at least one of a pair of dice is smaller than 4, given that the sum of…

A: Given, the sum of the pair of dice is 8,9,10,11,12. Now for sum to be equal to 8, the outcomes will…

Q: Consider dealing a five-card hand from a standard 52-card deck of cards. Compute the probability of…

A: We want to find the probability

Q: When a committee of size 2 is chosen from 5 persons, determine the probability distribution of the…

A: The total number of people is 5. The size of the committee is 2. Let P1,P2,P3,P4,P5 denote the 5…

Q: Jack has 10 chips numbered 1-10, what is the probability that he selects an even number or less than…

A:

Q: A box of 50 diodes contains 10 defective diodes. Suppose 10 diodes are selected at random and…

A: There are 50 diodes and 10 are defective in them and 10 are selected for inspection, let X be the…

Q: What is the probability that you can draw a red marble from a box containing 7 white, 4 red, and 5…

A: Solution: From the given information, a box contains 7 white, 4 red and 5 blue marbles. Total number…

Q: Two dice are rolled. What is the probability that the sum of the dice is larger than 8, given that…

A: Two dice are rolled, The sample space for the sum of the numbers showing up on the two dice is…

Q: 4. Bowl A contains 60 black chips and 40 white chips. Fifty of these 100 chips are selected at…

A: Given,no.of black chips=60no.of white chips=40total no.of chips=100

Q: A group of 20 university students contains 8 who are in their first year of study. A student is…

A: Given,Total no.of university students=20no.of universities who are in their first year of study=8

Q: b. A box contains 7 balls, 2 of which are red, 3 are blue and 2 green. Suppose that 2 balls are…

A: Given information Total balls = 7 No of red balls = 2 No of Blue balls = 3 No of green balls = 2 i)…

Q: suppose you have 6 tennis balls and you randomly pick some number of them. What is the probability…

A: Given: There are 6 tennis balls. You randomly select some number of balls. Required: To find the…

Q: There are 5 defective light bulbs in a set of 100 units. What is the probability that three bulbs…

A: We have to find given probabaility.

Q: For the experiment of rolling a single fair die, find the probability of being odd or divisible by 3

A: The experiment is rolling a single fair die. The sample space of the experiment is as follows,…

Q: 8 black balls and 10 red balls in an urn. If 5 balls are drawn without replacement, what is the…

A: The number of black balls = 8The number of red balls =10Total number of balls=8+10…

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: Uttar Pradash, Rajasthan and Bihar are subregions of India. It is reported that 94% of Uttar Pradash…

A: Given,P(Uttar Pradash residents say Hindi is their first language of choice)=0.94P(Rajasthan…

Q: Consider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red…

A: First, we need to identify the total number of outcomes. In this case, we have two boxes, each with…

Q: Suppose that an orchestra is made up by k=7 musicians on percussion, k2 = 7 musicians on woodwind…

A:

Q: Ten balls which are numbered as 1, 2, 3, ..., 10 are placed in an urn. Three balls are chosen at…

A: Number of outcomes in the sample space is, n(Ω)=10P3=10!7!=10*9*8=720 Let X: Smallest number among…