Suppose you have two fair six-sided dice. The dice are not numbered but each face is colored either red or green. The first die has 2 red faces and 4 green faces. The second die has 3 red faces and 3 green faces. Suppose you select a die at random and toss it. If the resulting face is red, what is the probability that you selected the first die?

Q: We roll a pair of dice four times. Find the probability that a total of five is rolled each time.

A: roll a pair of dice four times  P(total of five each times) = ?

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A:

Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: You have a 4 sided die (with numbers 1,2,3, and 4) that you are going to throw. You are told that…

A: Here the given information is You have a 4 sided die (with numbers 1,2,3, and 4) that you are going…

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

A:

Q: We roll a pair of dice three times. Find the probability that a total of five is rolled each time.

A: If we roll a pair of dice one time then the possible outcomes of gettingsum as 5…

Q: Suppose we have a box that has 30 balls numbered 1 to 30. You draw three balls at random without…

A:

Q: You Roll two fair dice, one white and one red. Find P(5 on white die and 3 on red die)

A: Given information Two fair dice One white and one red

Q: Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that the…

A: The provided information is There are 52 cards of deck. We find the probability the 2-card hand…

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A: We can roll 1 in only 1 way.For a die there are 6 possible outcomes.So, the probability of rolling a…

Q: You have a bag with 10 tiles in it. The tiles are identical except that 3 are red and 7 are black.…

A: The probability of an event is always fall between 0 and 1 and it is defined as ratio of favourable…

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: A pair of dice is rolled. Find the probability that the sum of the two dice is 10 or higher

A: A pair of dice is rolled.

Q: You have a 4 sided die (with numbers 1,2,3, and 4) that you are going to throw. You are told that…

A: The numbers on die (X) 1 2 3 4 Probability (P) 0.3 0.3 0.2 X

Q: A  class consists of 18 women and 15 men. If a student is randomly selected what is the probability…

A: Given information: Number of women in class is, w = 18 Number of men in class is, m = 15 A student…

Q: A pair of dice are tossed twice.Find the probability that the first roll is a total of at least 11…

A: The objective of this question is to find the probability of two independent events happening. The…

Q: Sarha, David, and Ali are all friends in science class. The teacher randomly chooses two of the 12…

A: There are total 12 students. The teacher is selecting 2 students. So the total number of ways to do…

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: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: A toddler is playing with some magnetic letters on the refrigerator. He has the letters l, t, b, a,…

A: From the given information, the letters are l, t, b, a and e.The given 5 letters are arranged in…

Q: QUESTION 1. A box contains 20 red, 15 blue, and 10 green marbles. Part a. Two marbles are selected…

A: It is given that  Number of red marbles = 20 Number of blue marbles = 15 Number of green marbles =…

Q: Find the probability distribution for the sum of the three sides.

A: Given,  Number of dice = 3 Number of sides with different number on each dice = 4 Total number of…

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

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.