ou have 8 cards, five of which are green and three of which are yellow.  You are going to select two cards by drawing one, then the other without replacement.  What is the probability that the cards will be different colors?  Explain your answer and show your answer as a fraction, not a decimal!

Q: There are 13 apples in a basket, 4 peaches, and 8 strawberries. What is the probability of picking…

A: Number of apples in the basket are 13. Number of peaches in the basket are 4. Number of strawberries…

Q: chloe's bookshelf has 6 books by Smith and 8 books by jones. if she removes 4 books at random, what…

A: Given data: Total books = 6 +8  = 14 She removes 4 books randomly To find: The probability of…

Q: One card is randomly selected from a standard deck of 52 cards. What is the probability of randomly…

A:

Q: An ordinary 52 - card deck is thoroughly shuffled. You are dealt four cards up. What is the…

A: The number of ways, four cards can drawn from a 5ordinary 52-card deck is,…

Q: In a certain group of 51 students, 23 are taking accounting, 17 are taking chemistry, and 4 are…

A: For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: A bag contains 9 white counters, 10 black counters, and 3 green counters. What is the probability of…

A: (a) There are totally 22 counters in a bag of which 9 are white counters, 10 are black counters and…

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

A:

Q: 2. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A: Given Dario puts 44 marbles in a box in which 14 are red, 12 are blue, 18 are yellow.

Q: three students are chosen from 2 freshmen, 5 sophomores, and 5 juniors. What is the probability of…

A: The probability of selecting 2 freshmen and 1 junior is, Thus, the probability of selecting 2…

Q: Julia buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 9 sugar…

A:

Q: 2. What is the probability of getting three cards of the same suit when dealt 3 cards from a…

A:

Q: You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put…

A:

Q: You randomly draw five cards from a standard 52-card deck.What is the probability of getting no…

A: Given information- We have given a standard deck of 52 cards. We have to draw 5 cards randomly. We…

Q: Gabriel has 4 black socks, 6 red socks and 2 blue socks in his drawer. If he  randomly takes 2 socks…

A:

Q: In a business, 9288 employees out of 9533 are using the company’s 401K plan.  Is it unusual to pick…

A: From the given information we find the solution.

Q: Sara draws the 10 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given: Sara draws the 10 of hearts from a standard deck of 52 cards. Without replacing the first…

Q: What is the probability of getting three queens if you are to draw three cards in a standard deck?

A: We know that standard deck of cards contains 52 cards Out of those 52 cards, 4 are queen cards…

Q: A bag with 6 marbles is shown below. (2 marbies are blue, I is yellow, and 3 are red.) A marble is…

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: You draw 12 cards (without replacement) out of a shuffled deck of 52 cards. Determine the…

A:

Q: What is the probability that the card is a 4 given that it is a Number Card? What is the probability…

A: In a deck of 52 Cards,            There are 36 Number Cards & from which four are '4' Number…

Q: Suppose you shuffle a deck of cards and set it down on the table. (b) What is the probability that…

A: From the given information, there is a deck of 52 cards, there are four suits clubs, diamonds,…

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A:

Q: Determine the probability that the second card is a 6. P(6∣10 of hearts) = ?

A:

Q: Tina draws a card at random from a deck of cards numbered from 1 to 30. What is the probability of…

A: The total number of cards is 30. The numbers divisible by 5 are 5,10,15,20,25 and 30. That is,…

Q: A closet contains 10 pairs of shoes. If 8 shoes are selected randomly, what is the probability that…

A: We will use a combination here to find the respective probability.

Q: Suppose you draw 4 cards from a deck of cards, but do not replace the cards before choosing the…

A: a) In this case, order matters so we will use permutation We can pick any 4 cards from 52 cards in…

Q: Out 5,000 cards, 136 are blue cards. a) what is the probability that a randomly selected card is…

A:

Q: What is the probability of 4 heads turning up out of four tosses of the coin if the probability of…

A: The given context follows binomial distribution with n = 4 and p = 0.4.

Q: What is the probability of flipping 4 coins and having exactly 3 of them land on tails? 1/16, 2/16,…

A: the total number of possible combinations in flipping 4 coins  is 16  the total possible events of…

Q: 2. What is the probability of getting three cards of the same suit when dealt 3 cards from a…

A: 2. There are three cards are selected from standard deck. The possible outcome is (352) There are…

Q: There are eleven female board members and nineteen male board members. How many ways are there to…

A:

Q: A bag holds 2 red and 7 blue marbles. What is the probability of the complement of randomly…

A:

Q: Diana is packing a lunch that will include an orange. Diana has 3 navel oranges, 5 mandarin oranges,…

A: Given data,Naval oranges=3Mandarian oranges=5Valencia oranges=4Total oranges=12P(Naval orange)=?

Q: 3. A plastic jar contains 4 triangular shape chocolates, 3 circular chocolates, and 6 rectangular…

A: The probability of an event is the ratio of the number of cases favorable to that event to the total…

Q: A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is…

A: Given Data: The total number of marbles is: n(T)=6 The number of red marbles is: n(R)=3 The number…

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: A bag contains 9 black, 5 red, 7white and 4 purple balls. What is the probability of choosing: a).…

A: Given,no.of black balls=9no.of red balls=5no.of white balls=7no.of purple balls=4total no.of…

Q: 2) In Europe, 86% of all households have a television. 52% of all households have a television and a…

A:

Q: In a poker game consisting of 5 cards, what is the probability of holding 2 aces and 2 Queens?

A:

Q: A bag contains 8 white counters, 3 black counters, and 6 green counters. What is the probability of…

A: Given: White counters = 8 Black counters = 6 Green counters = 3 Total counters = 17

Q: 5 cards are randomly drawn from a deck of 52 cards. What is the probability that 3 are of the same…

A: In a pack of 52 cards there are 4 different suits (Clubs, Diamonds,Hearts & Spades) and each…

Q: 2. what is the probability of drawing the number 8 or a card of diamonds from a deck of 52 cards?

A: in a pack of 52 cards no.of diamond cards=13no.of 8 number cards=4

Q: In a box, there are 8 orange, 7 white, and 6 blue balls. If a ball is picked up randomly, what is…

A: Given info: In the box, there are 8 orange, 7 white, and 6 blue balls.

Q: What is the probability that all 3 cards are Kings? Leave your answer as a fraction.

A:

Q: In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. If you select…

A: It is given that Number of number cards = 76 Number of action cards = 24 Number of wild cards = 8…

Q: What is the probability of drawing an 8 from a deck of cards, keeping it, then drawing a face card?

A: There are 4 eights and 12 face cards in a deck of 52 cards. We can draw an eight in 4 ways and we…

Q: 2) In Europe, 86% of all households have a television. 51% of all households have a television and a…

A: The probability that a household has a VCR given that it has a television is 0.59

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.