For a normal die, the sum of the dots on opposite faces is 7. Shown in the figure is a pair of trick dice in which the same number of dots appears on opposite faces. Find the probability of rolling a sum of (a) 7 (b) 8

Q: We roll Two dice and report the sum of the spots on the up faces.  What is the probability of…

A: From the given information, two dice are rolled. The total sample space is,

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: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A:

Q: (b) Find the probability that a student participates in less than three actjvities. The probability…

A:

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

A:

Q: One card is selected at random from a deck of cards. Find the probability that the card selected is…

A: Total number of card=52 Total no of spade card including queen of spade=13 Total.no of queen other…

Q: Find the probability. Two 6-sided dice are rolled. What is the probability the sum of the two…

A:

Q: You roll a six-sided die. Find the probability of rolling: a 5 or a number greater than 3 a number…

A:

Q: Find the probability of getting a sum of 9 when you roll a pair of dice. the answer is

A: if you roll a pair of dice than the possible out comes aren(s)=36The possible out comes that a sum…

Q: Find the probability that a child flipping an old coin gets the second head on the 8th flip.

A: Here, x=8, k=2 and p=0.5. The general formula for the negative binomial distribution is,…

Q: Amber rolls a 6-sided die. On her first roll, she gets a "1". She rolls again.  (a) What is the…

A:

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

A: It is given that a pair of fair dice thrown 10 times.

Q: Following is the probability distribution of a random variable that represents the number of…

A: (a)   Obtain the probability that a student participates in exactly two activities.   The…

Q: Roll a pair of dice 10 times. Determine the probability of having exactly

A: Given that the pair of dice is rolled 10 times. When rolling pair of dice, the possible outcomes for…

Q: Find the probability of dealing two red cards from a standard deck of cards.

A: In a standard deck of cards, there are 52 cards in total out of which there are 26 red cards and 26…

Q: Find the probability of being dealt three aces in a row, with replacement.  Assume a standard deck…

A: Standard deck of cards have 52 cards. Out of them 4 cards are Aces.

Q: Find the probability of getting a 1, 5, or 6 when you roll a standard six-sided die

A: When we roll a six-sided die then we can get 6 possible outcomes.  We can get 1, 5 or 6 in 3 ways.…

Q: Suruchi has $1.64 worth of change in the bottom of her purse.              If she reaches into her…

A: Given: Total number of coins = 12 Number of nickel = 3

Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

A: Given: Number of girls in a family = 9 Assuming that no other child is born other than 9. Also,…

Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: Find the probability that a child flipping an old coin gets the second head on the 6th flip.

A: Consider that tossing coin is a trials . which are independent .  Let's take it as a success  if a…

Q: There are 6 oranges, 5 apples and 5 mangoes on the basket. Sam got two fruits at random without…

A: 6 oranges 5 apples  5 mangoes ________________ 16 total fruits

Q: If you roll n fair 6-sided dice, find the probability that the sum of the numbers on top is n+5.

A:

Q: Lorne rolls two regular six-sided dice. Determine the odds against him rolling an odd sum or a 4

A: odds of an event: odds of an event is nothing but ratio of success and failures…

Q: What is the probability that she will not have to stop at the light all next week?

A: It is given that the probability that the light will be red is 65% = 0.65

Q: Find the probability of getting 3 face cards (king, queen, or jack) when 3 cards are drawn from a…

A: Given that in standard deck 3 face cards are drawn without replacement. Total number of cards in a…

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: Camilia sets up a passcode on her tablet, which allows only nine digit codes. A spy sneaks a look at…

A: According to the question, the password has a 9 digit code. Given that the spy sees her fingerprints…

Q: Ella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the…

A: Given that  A die is rolled  Sample space = S = ( 1, 2, 3, 4, 5, 6 )

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: A six-sided die is rolled 6 times. The objective is to find the probability that the sum of the dice…

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

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Q: If 25 dice are rolled, find the probability the three 6s are seen.

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Q: Find the probability that a child flipping an old coin gets the second head on the 9th flip.

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Q: Caleb rolls two regular six sided dice determine the odds against him rolling an odd or a sum of 4

A: Given that Caleb rolls two regular six sided dice we have to find the odds against him rolling an…

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.