A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement. Use a PROBABILITY TREE to answer the following questions. a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red.

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Select two cards without replacement from a 52- card deck. Find the probability that a. both cards…

A: a. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A),…

Q: A committee of four people will be selected among a group of 15 engineers. The committee will have…

A: 15-engineers4 positions : President                       Secretary                       Treasurer…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: One student is to be selected at random from a group of 7 freshmen, 5 sophomores, 8 juniors, and 3…

A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors  Total=23

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A:

Q: Consider a box contains cards with your ID number and 5 another student's ID(i.e. each card will…

A: Given thatBox contain your ID number and 5 another student's ID.Total number of ID = 6So, total…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: n a fish tank, there are 27 goldfish, 4 angelfish, and 16 guppies. If a fish is selected at random,…

A: A is an event of n equally likely outcomes of an experiment. If n(A) is the number of events…

Q: There are 35 students ina class. One of them will be elected as the class monitor. The type of…

A:

Q: There were 12 pink, 7 purple and 9 yellow flowers in a vase. You randomly choose a flower from the…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: There are 3 red, 1 blue and 2 purple marbles in a bag. Once a marble is selected, it is replaced.…

A:

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

A:

Q: Use a probability tree to answer the following. A jar contains 5 red marbles, 7 green marbles, and 9…

A:

Q: There are 3 red, 1 blue and 2 purple marbles in a bag. Once a marble is selected, it is replaced.…

A: There are total (3+1+2)=6 marbles We can pick 2 marbles with replacement in 62 =36 ways     We can…

Q: A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement.…

A: Probability distribution tree is shown below:   (a) Determine the probability that both marbles are…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: An urn contains nine ​red, seven white, and five blue marbles. Three marbles are selected at random…

A: It is given that, An Urn contain nine red, seven white and five blue marbles. Total number of…

Q: Given a deck of cards of cards.  Choose five cards without replacement.  Determine the probability…

A: In a given deck of 52 cards, the objective is to find the probability that of the obtained 5 cards…

Q: A poll is given, showing 55% are in favor of a new building project. If 6 people are chosen at…

A: The total number of trials n=6The number of successful trials x=5The probability of success p= 55%…

Q: A special deck of 20 cards contains 12 black cards and 8 green cards. One of the cards has a bent…

A:

Q: On a shelf at a gaming store, there are five Sony Playstations and nine Nintendo Wii consoles left.…

A: We have given that On a shelf at a gaming store  Number of Sony Playstations = 5 Number of Nintendo…

Q: An urn contains 10 red marbles, 10 white marbles, and 5 blue marbles marbles. A child randomly…

A: It is required to find the probability of obtaining all three marbles of the same color, and the…

Q: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are males.…

A: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are…

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of…

A: Let us denote R=Red, W=white, B=blue   There are 3 bowls So, P(X)=13, P(Y)=13, P(Z)=13P(B or…

Q: Use a probability tree to answer the following. A jar contains 4 red marbles, 10 green marbles, and…

A:

Q: Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated cards.A…

A: Since, all the five cards must be of same color. So taking the favorable conditions from half of the…

Q: A jar contains 8 white, 11 blue, and 17 red marbles. If one marble is drawn at random from the jar,…

A: Answer Given,White marble = 8Blue marble = 11Red marble = 17Total marbles = 8+11+17 = 36

Q: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are males.…

A: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are…

Q: Given a standard deck of fifty-two playing cards (no jokers and Aces high), find the probability of…

A: Total face card in a deck of fifty-two playing cards = 12

Q: A poll is given, showing 55% are in favor of a new building project. If 9 people are chosen at…

A: If 9 people are chosen at random, Probability of exactly 1 of them favors the project: 0.00832…

Q: A player is dealt 5 cards from a 52-card deck. a. What is the probability that the 4th card dealt…

A: Given that a player dealt 5 cards from a deck of 52-card deck. a). The probability that the 4thcard…

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.