An unusual die has the numbers 4​, 4​, 5​, 5​, 7​, and 7 on its six faces. Two of these dice are​ r

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 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: Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail…

A: Given: It is given that heads come up 37 times and tails come up 63 times in the first 100 coin…

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: In a lottery game, a player picks 5 numbers from 1 to 48. If 4 of the 5 numbers match those drawn,…

A: pick 5 numbers from 1 to 48. win second prize if 4 of 5 numbers matches. P(win second prize) = ?

Q: In a card game, there are 15 cards laid out on a table. 6 of the cards are blank, 2 of the cards are…

A: Here, we use the expected value and probabilty for the purpose of knowing the variables probability…

Q: Every time you flip a coin 10 times, you get either a head or a tail. How many different results…

A:

Q: In strategy games, in addition to the common 6-sided dice, dice having 4, 8, 12, or 20 sides are…

A: Probability quantifies the chances of happening an event. The probability values always lie in 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: Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below…

A: Given, flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The possible…

Q: What is the probability that on a roll of two (normal, six-side) distinguishable dice the sum is at…

A: Given that the sample size of a dice is 36.

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: From the provided information, A pair of dice is rolled. Total outcomes = 6 × 6 = 36

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

A:

Q: Consider the dice game in which 2 dice are rolled.  If the sum of the dice is 11, then your friend…

A: If the sum of the dice is 11, then your friend will give you $45; otherwise, you have to give your…

Q: n a lottery game, a player picks 6 numbers from 1 to 46. If 5 of the 6 numbers match those drawn,…

A: pick 6 numbers from 1 to 46. if five of the 6 numbers matches with drw=awn numbers player win second…

Q: A pair of dice is rolled, and the number that appears uttermost on each day is observed. One shows a…

A: The all-possible outcomes for tossing a pair of dice is defined as follows: Sample space = {(1,1),…

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 game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.