5. Jakub designs a fair cubical die numbered with the first six prime numbers. He throws his die and a fair tetrahedral (four-sided) die numbered with the first four square numbers and writes down the difference between the two numbers, D. Find the probability that D is: a. a prime number b. a square number.

Q: Suppose you roll a special 12-sided die. What is the probability that the number rolled is a "2" OR…

A: Given that  We roll a special 12 sided die  Then we have to find the probability that the number

Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: A science class has six girls and two boys in the seventh grade and one girl and 7 boys in the…

A:

Q: Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6 rolls of die.  What's…

A: Solution Given That, Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6…

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 4 coins are tossed. Find the probability of tossing no heads. (Round to - decimal places.)

A: Given 4 coins are tossed. We have to find the probability of tossing no heads.

Q: Latanya recorded the grade-level and instrument of everyone in the middle school School of Rock…

A: To calculate the probability, we first need to know the total number of outcomes. In this case, the…

Q: You draw two cards from a standard deck of 52 cards and replace the first one before drawing the…

A: Given,total no.of cards=52no.of 2 numberd  cards=4no.of 6 numberd cards=4

Q: Ruben is packing school lunches for his two daughters. In his fruit bowl, he has 4 red apples, 2…

A: Given that, Ruben is packing school lunches for his two daughters. In his fruit bowl, he has 4 red…

Q: Jod are dealt two cards successively (without replacement) from a shuffled deck of numbered cards…

A:

Q: A coin and a die are tossed. Find the probability of getting: a. a head and a multiple of 2 b. a…

A:

Q: Suppose you roll a special 22-sided die. What is the probability that the number rolled is a "1" OR…

A: Given that  Roll a 22-sided die  Sample space=S…

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: Two ball are drawn in succession without replacement from an urn containing 2 white and 4 red balls.…

A: There are two different cases in which second ball is red.   Case 1 : First ball is white and second…

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: A science class has 3 girls and 9 boys in the seventh grade and 5 girls and 3 boys in the eighth…

A:

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: Using the same 8 sided die and 6 sided die, answer the following. when you have a sum. a.)…

A: Solution: a).Sum of at least 15.     at least 15 means =>15 or more than 15.     Therefore,…

Q: A single die is rolled twice. Find the probability of rolling a 6 the first time and a 1 the second…

A: The probability of rolling a 6 is 1/6. The probability of rolling a 1 is 1/6.

Q: Two concentric circles form a target. The radii of the two circles measure 8 cm and 4 cm. The inner…

A: The area of the bullseye is the difference between the area of the outer circle and the area of the…

Q: Find the probability of winning second prize—that is, picking five of the six winning numbers—with a…

A: We can select any 6 numbers from 54 numbers in 54C6 ways. (this is the total number of ways)   We…

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: balls numbered 1 to 15 are placed in a bag. Three balls are drawn at random without replacement.…

A: Given,no.of even numbered balls=7no.of odd numbered balls=8Total no.of balls=15

Q: A single die is rolled twice. Find the probability of rolling an odd number the first time and a…

A:

Q: A single, six-sided die is rolled. Find the probability of rolling an even number or a number less…

A: Addition rule of probability:Addition rule of probability indicates the happening either of the…

Q: Find the probability of getting a 4 of a kind hand when 5 cards are dealt from an ordinary deck.…

A: here in standard deck there are total 52  card  there are total 4 suit  and each suit have 13 card…

Q: probability a deck as as a reduce fraction. O 2/13 1/52 4/13 1/4

A: A deck consists of 52 cards. n(S)=52

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: If you roll a standard six-sided die, what is the probability that you get a 1, 2, 3, 5, or 6? Give…

A: Given that, A standard six-sided die is rolled.

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: Find the probability of getting a 2, 4, 5, or 6 when you roll a standard six-sided die

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: In a certain state's lottery, 58 balls numbered 1 through 58 are placed in a machine and four of…

A: It is given that 4 balls are drawn at random from the 58 given balls and the player will win the…

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given data, A 12 sided die is rolled Then the sample space is S={1,2,3,4,5,6,7,8,9,10,11,12} What is…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.