An um contains 6 pink and 7 green bals. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected Sall is returned to the urn. What is the probability that all4 balls drawn from the urn are pink? Round your answer to three decimal places Or necessary, consut a lttfomlas)

Q: . If the ball is white, find the probability that the first urn was selected

A: Let us define some events A : The first urn is selected. B : the second urn is selected. E : the…

Q: An urn contains 5 white balls and 6 red balls. A second urn contains 8 white balls and 4 red balls.…

A: Given data: The numbers of white balls in the first urn are w1=5. The numbers of red balls in the…

Q: An urn contains 15 red, 25 white and 36 blue marbles. A child selects two marbles at random and…

A:

Q: A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing…

A: Total no. of cards in a deck = 52 No. of face cards in a deck = 12                   (i..e, 4 J's ,…

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: A spinner board consists of six equal parts number 1 to 6. The spinner is spun twice. Find the…

A: There are total 6 equal parts in spinner, from 1 to 6.

Q: Find the probability that an observation taken from a standardnormal population will be more than…

A: From the provided information, The observation is taken from a standard normal population. Mean for…

Q: An urn contains 2 white balls and 8 red balls. A second urn contains 6 white balls and 4 red balls.…

A:

Q: Find the probability of getting 8 heads in a row in 8 tosses of a fair coin.

A:

Q: Three coins are tossed. Find the probability of getting at least two head

A: Given Three coins are tossed

Q: An urn contains 5 red marbles, 5 white marbles, and 5 blue marbles marbles. A child randomly selects…

A: The given data is as follows:There are 5 red marbles, 5 white marbles and 5 blue marbles. Three…

Q: The probability of being dealt a hand containing 3 spades, 4 hearts, 2 diamonds, and 2 clubs is.…

A: Here use hypergeometric distribution

Q: card of pack 52 is shuffled several times find the probability of picking.

A: If two events are said to be independent events then one event has occurred and doesn't affect the…

Q: Five coins are thrown 40 times. Determine the probability that one Tail will be rolled in 8 cases.

A: Here 5 coins are thrown 40 times  Here first use binomial theorem and then again binomial for…

Q: A card is drawn at random from a deck of cards, find the probability of getting a Face Card (or Ace…

A: A card is drawn from a classical deck of cards. Thus, total possible outcomes=52 Define the events…

Q: Suppose that two fair dice are rolled. find the probability that the number on the first dice is a 4…

A:

Q: An urn contains 5 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A:

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: There are 5 white, 4 black, and 3 red balls in an urn. We select 3 balls at random from this urn.…

A:

Q: A bag contains 5 red marbles and 3 blue marbles. Two marbles are randa hout replacement. Calculate…

A: It is given that the  There is a bag which contains 5 red marbles and 3 blue marbles. So, a total…

Q: Find the probability of drawing a spade, then a heart, then a diamond, and then a heart from a…

A: Total no. of cards in a deck=52No. of spade cards=13No. of heart cards=13No. of diamond cards=13

Q: Suppose one card is drawn randomly from a deck of 52 cards. What is the probability of getting a…

A: Answer: From the given data, Total number of cards in a deck = 52 If one card is drawn randomly,

Q: A lock consist of 3 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Given: A lock consists of 3 dials, where each dial has 4 letters. As each dial has 4 letters and…

Q: b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with…

A:

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…

Q: An urn contains 39 red, 29 white and 16 blue marbles. A child selects two marbles at random and…

A: Total Red Marbles = R=39 Total white Marbles = W=29 Total blue Marbles = B=16 Total Marbles=84

Q: Forty balls are placed in a bucket The balls are numbered from 1 to 40. One ball is randomly…

A: Forty balls are placed in a bucket The balls are numbered from 1 to 40.One ball is randomly selected…

Q: We have an urn with 5 red balls, 7 green balls and 4 white balls. Assume the probability of each…

A: We have an urn with 5 red balls, 7 green balls, and 4 white balls. Assume the probability of each…

Q: Determine the probability of the card being either red or a King when one card is drawn from a…

A:

Q: An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls.…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.