A bag contains 12 balls, of which 5 are red (R) and 7 are blue (B). The balls are indistinguishable apart from color. We are interested in choosing 2 balls from the bag, one at a time. A ball is chosen at random from the bag, it is replaced and a second ball is chosen. (a) If the first ball is red, what is the probability that the second is also red? (b) If the first ball is not red, what is the probability that the second is also not red?"

Q: You are playing a game where you must roll a fair die and then draw 2 balls, without replacing them,…

A: P( A : 1 or a 2) =13P( B : 3,4,5 or 6) =23 As to draw 2 green balls from the same bag,   P(G1 :2…

Q: Find the probability in each of the below four cases, if the balls are drawn one after the other…

A: Given that there are 4 white & 6 black balls. Total (4+6)=10 balls We can draw any 2 balls from…

Q: Producers (A and B) supply car mirrors to Distributor. If mirror is picked up at random, Probability…

A: Given information: P(A)=0.25 P(B)=0.75 P(defect| A)=0.04 P(defect| B)=0.02

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: Total number of slips is 25+29 =54. It is known that hat contains 25 red and 29 yellows slips. The…

Q: The probability that an egg from a pair of small parrots produces an albino chick is . If the…

A:

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: A family has n children. We pick one of them at random and find out that she is a girl. What is the…

A: Given: Sample Sizen=nProbability of a girlp=0.5 Since probabilities of boys and are equally likely.…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information,  Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: A grade 10 board of officers of a school consists of 3 girls and 6 boys. A committee of 5 officers…

A: Total number of students = 9 Number of girls = 3 Number of boys = 6 We need to select exactly 2…

Q: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Draw two balls,…

A: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Sampling is with…

Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

A:

Q: here exists a coin with two possible outcomes: heads or tails. However, this coin is not fair, and…

A: probability is simply how likely something is to happen after many repeated trials.

Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

A: Given An urn contains No. of Red balls=6 No. of Blue balls=13 Total no. of balls=6 red balls +13…

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: .. A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other…

A: GivenA bag contains No.of white balls = 5No.of black balls = 3Total no.of balls = 8

Q: For any two events A and B and P(B) + 1, find weather the following statement is true or not: 1- Р…

A: Introduction :-  We have to check whether given statement is true or false. Formulae :-

Q: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

Q: 1. A family has 3 children: boys and girls are equally likely offspring. What is the probability of…

A: Given : A family has 3 children : Let, B = boy G =Girl The total possible outcomes is :…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: From the given information, all the possible outcomes when a couple has three children are, {bbb,…

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

A:

Q: For this problem, assume the team had 11 aluminum bats and 5 magnesium bats. Three bats are selected…

A: From the provided information, Team had 11 aluminium bats and 5 magnesium bats. Total bats = 11 +5…

Q: A small bag of M and Ms contains 7 green, 4 yellow, 5 blue, and 6 brown. If we randomly select a 1st…

A:

Q: .Two cards are drawn successively from a deck of 52 cards, what is the Probability that the first…

A:

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given : Possible outcomes of boy , girl when couple has 3 children are : Possible outcomes (n)=8…

Q: A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and…

A: Number of flips = 8Probability of heads = 1/3Probability of tails = 2/3

Q: You travel from Amsterdam to Sidney with a change of airplane in Dubai and Singapore. You have one…

A: Given data: *The probability that the luggage lost in Amsterdam is P(A)=5%=0.05 *The probability…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.