5. Imagine that you flip a coin and roll a fair 6-sided die, simultaneously. List all the possible outcomes and then find the probability of... a. Rolling an odd number. b. Rolling a 6 and getting heads c. Rolling an even number and getting tails.

Q: 3. A bag contains 4 chocolates, 7 jelly beans, and 9 gummy bears. A candy is picked from the bag.…

A: Bag =4(chocolates)+7(jelly beans)+9(gummy bears) P(a gummy bear or jelly bean)=?

Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

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: Consider a fair 6-sided die. a. What is the probability of at least one 3 being observed in 6…

A:

Q: A. What is the probability of having 4 heads, if you toss 4 coins? & B. What is the probability…

A: Sample space for toss 4 coins is given by  There are 24=1624=16 possible outcomes.  S= {  HHHH ,…

Q: A card is drawn from a pack of 52 cards. The probability of getting a diamond is.......

A:

Q: .A coin is flipped 5 times, find the probability of getting at most 1 head.

A:

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: 3. A recent report was issued that suggested 45% of all cell phone calls in 2022 will be scams.…

A: The provided information is  n=500 p=0.45 X~B(n=500,p=0.45)   The mean and variance is…

Q: Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the roll…

A: In rolling of two 4-sided die, the possible outcomes we…

Q: One card is drawn from a deck. Find the probability that it is red or an 8?

A: Let, r is the event that represents a red card is drawn. e is the event that represents an 8 card is…

Q: 6.Find the probability a randomly selected card is a face card or a heart.

A:

Q: 21. A die is rolled. What is the probability of getting a. an even number or a 3? b. an odd number…

A: Solution

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5).  What is the probability…

A: The sample space for two five-sided dice is : S= {(1,1)(1,2)(1,3)(1,4)(1,5)…

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: Compute the probability of tossing a six-sided die and getting an even number.

A: When we toss a six-sided die then the possible outcomes are S = { 1,2,3,4,5,6}  = n(S) = 6 Formula…

Q: Suppose you roll a 9-sided fair die until you roll a "1".  What is the probability that this takes…

A: Given that, We are rolling 9 sided side  Probablity of getting 1 is 1/9 Then probablity of getting…

Q: 4. Toss a coin 100 times, find the probability that a Head will appear at most 43 times?

A: Given Let define a random variable X as, X: The number of times Head appears in experiment of…

Q: HoT blue and not red" shirt? Solve the following problems. 1. A bag contains 2 white balls, 4 black…

A: The given question is of probability with exclusive nature i.e.…

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

Q: 8. There are one hundred tickets in a box, numbered from 1 to 100. Draw twice, with replacement.

A:

Q: 2. If you shuffle the deck of cards, and choose one at random, what is the probability that you will…

A: If we shuffle the deck of cards.  We have to find the following probabilities

Q: Draw a card. There are 52 cards in a deck of standard playing cards. Event A: You draw the King of…

A:

Q: 2. In a game, you have to roll a six-sided die and flip a coin. What is the probability of getting a…

A:

Q: 2. In a game, you have to roll a six-sided die and flip a coin. What is the probability of getting a…

A: Given Dice is thrown and also coin throw

Q: What is the probability of being in the circle but outside the square (shaded section.)

A: Let the radius of the circle = r So the area of the circle=total area= πr2

Q: A fair red, green, blue and yellow spinner is spun and a 6-sided die is rolled. Determine the…

A: Given : A fair red, green, blue and yellow spinner is spun Hence, the probability of spinning any…

Q: 2. In rolling 2 dice, find the probability of having: a. Sum of 7 b. At least one die shows 4 c.…

A: Given2 die are rolled

Q: 3. Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the…

A: Given problem is : Consider a roll of two 4-sided dice. A. How many members will the outcome set…

Q: Solve the following problems.  1. A bag contains 2 white balls, 4 black balls, and 6 red balls. One…

A: As per bartleby guideline expert have to answer first question only

Q: Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

A: Given, Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

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.