A fair die is rolled eight times. Calculate the probability that there are: (a) Exactly five even numbers (b) Exactly one 6 (c) No 4s

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: A bag contains 6 red balls and nine blue balls. Two balls are picked out and not replaced. Evaluate…

A: As per our guidelines we are suppose to do only one questionGivenA bag contains No.of red balls =…

Q: What is the probability that an 8-digit driver's license number chosen at random will not have 4 as…

A: Given Data: The number of digits in the license number is: n=8 The possible number of ways is,…

Q: A) Find the probability of rolling a three on one roll of a die. B) Determine the probability of…

A: The possible outcomes when rolling a die is {1, 2, 3, 4, 5, 6}.

Q: he 16 members of the Visual Arts council are seated for a presentation.  Determine the probability,…

A: The 16 members of the Visual Arts council.They are seated for a presentation.The objective is to…

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: 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: An urn incudes 13 balls: 2 red, 4 white and 7 green balls. The probability of selecting 6 balls…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Roll a red die and a green die. Find the probability the total is 5

A: roll a red die and green die  p(TOTAL IS 5) = ?

Q: We discussed the correlation coefficient of two random variables, say X and Y. Suppose X is the head…

A:

Q: Find the probability of throwing a sum of 4 at least 2 times in 4 throws of a pair of fair dice.…

A: on sigle dice the outcome may be {1,2,3,4,5,6}when throw 2 dice, no. of possible outcomes = 36roll…

Q: Five coins are thrown. Determine the probability of getting three Tails.

A: Let p be the probability of getting tail. Then p = 0.5 Let X denote the number of tails in throwing…

Q: a) Find the probability that you roll a 3. b) Find the probability that you roll an even number c)…

A: S = {1,2,3,4,5,6} Total outcomes = n(S) = 6   a)The probability of getting a 3 is given by P(getting…

Q: In a bingo game , there are 75 balls. in the first draw, determine the probability that ball is a. A…

A:

Q: Julia sets up a passcode on her tablet, which allows only eight-digit codes. A spy sneaksa look at…

A: According to the provided data, the passcode allows only eight digit codes. As the fingerprints on…

Q: A box contains 15 red and 5 blue balls. Balls are drawn randomly one at a time with replacement.…

A: We have to find correct answer.

Q: Out of 250 applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 1…

A: Total no. of applicants for a job=250No. of female applicants=140No. of female and have a graduate…

Q: Find the probability an odd number is thrown in the toss of a fair die. (Enter as a decimal)

A: Givena fair die is tossed

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: A 4-sided fair die and an 8-sided fair die are rolled. Find the probability of rolling: exactly a 2…

A: Given that; A four sided die i.e. ( 1,2,3,4) and A 8 sided fair die i.e . (1, 2,3,4,5,6,7,8) .…

Q: What is the probability that when three coins are flipped, at most one lands heads?

A:

Q: On a roll of a die, what is the probability of landing a. Aneven number? b. An odd number? C. prime…

A: We have given that  Roll a die  Total number of outcomes=6 Sample space=S=(1,2,3,4,5,6) A=Even…

Q: A spinner with 10 equally sized slices is shown below. (3 slices are blue, 2 are red, and 5 are…

A: A spinner with 10 equally sized slices is shown below.3 sclices are blue2 sclices are red5 sclices…

Q: Find the probability of throwing a sum of 3 at least 3 times in 10 throws of a pair of fair dice.…

A: In this case, each of the throws has the only options of having a result as "a sum of 3" (defined as…

Q: Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the…

A: here Thirteen cards are dealt on the table from a deck of standard playing cards.  here total 52…

Q: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number…

A: Given: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown…