3) A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after the other, randomly chosen, without replacement. What is the probability that all four children receive the same fruit?

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: Two cards are drawn from a single deck of 52 cardsone after the other. If the first card is not…

A: The objective of this question is to find the probability of drawing a king on the first draw and a…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

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

Q: ag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from…

A: given data, 2- red 4-yellow4-blue10- total marbles

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

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

A: There are 52 cards in a standard deck of cards.  We can select 2 cards from 52 cards in 52P2=2652…

Q: A bag contains 8 red marbles, 7 green marbles, 5 blue marbles, and 6 yellow marbles.  If you draw…

A:

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: total number of marbles in jar = 6+3+2 =1111 marbles = 6 blue + 3 green + 2 redselecting randomly 3…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

A:

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: A class consisting of 4 graduate students and 12 undergraduate students is randomly divided into…

A: 4 graduate student I. e. A, B, C, D12 undergraduate

Q: A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a…

A: Given: Number of boys = 18 Number of girls = 16 Number of students chosen = 3

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.