A standard deck of playing cards has an equal number of red and black cards.  What is the probability of drawing 3 red cards in a row with replacement? Note:  With replacement means that after a card is drawn it is put back in the deck therefore resetting the chances of a full deck.

Q: A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue…

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Q: There is a disease whose average incidence is 10 per 30,000 people. In a city of 90,000 people find…

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Q: A deck consists of playing cards that can have one of 12 suits and one of 6 ranks. A hand is a set…

A: It is required to find the number of possible four of a kind hands from the deck, and the…

Q: A Coin jar Contains 15 dimes Find the probabiling that doren cline from the choose Mikah will choose…

A: Quarters = 12 Dimes = 15 Nickels = 23 Total coins = 50

Q: A bag contains 4 white and 6 black balls.  If 2 balls are drawn in succession without replacement,…

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Q: c. What is the probability that all tosses are heads? d. What is the probability that exactly two…

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Q: A test contains two multiple choice questions, each question having four possible answers. If a…

A: The sample size n is 2.

Q: A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing…

A: Total no. of cards in a deck = 52 No. of face cards in a deck = 12                   (i..e, 4 J's ,…

Q: Example 9: On a library shelf, you can find 4 statistics books, 5 math books and 3 chemistry books.…

A: Introduction :-  Given that there are 4 statistics books, 5 math books, 3 chemistry books. Let ,  X1…

Q: 6. A club with five male senior member and eight female senior members elects three other females…

A: We have given that  Total members = 18 Total female members = 11 Total male members = 7

Q: You are given an unbalanced coin with 40% chance for heads. If you tossed this coin 10 times, find…

A: We have to find correct answer..

Q: ecall the horse game. In the game you roll 2 dice and add them together. You then move the horse…

A: We have given that the 2 dice are rolled then the sample space is S={ (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: A class consists of 70 women and 20 men. If a student is randomly selected, what is the probability…

A: Given A class consists of 70 women and 20 men. Here, a student is random selected. Total Number of…

Q: you roll a six-sided die.what is the probability that it is an even number or less than five

A: When a six-sided die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6 P(even number or less than…

Q: A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement.…

A: Probability distribution tree is shown below:   (a) Determine the probability that both marbles are…

Q: (i) Find the Probability that it is an Ace, Jack, Queen, or King. (ii) It is a Jack, Queen, or King.

A: HERE GIVEN , THERE are total 52 cards in deck here use basic probability  probability  = no of…

Q: In a large population, 66% of the people have been vaccinated. If 4 people are randomly selected,…

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Q: A candy dish contains four brown and three red M&Ms. A child selects three M&Ms without checking the…

A: A candy dish containsNo. of brown M&M's=4No. of red M&M's = 3Total no. of M&M's=7

Q: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

A: Given problem Given that   A class in Engineering Data Analysis consists of 6 women and 4 men.…

Q: 70% of all students at a college still need to take another math class. If 4 students are randomly…

A: X~bin(n=4,p=0.70)

Q: solve correctly. I will rate. Do it carefully please. 15 toothpastes are selected at random from a…

A: We have to use the hypergeometric probability distribution to find the probability.

Q: A card is drawn at random from a box of 20 cards numbered from 1 to 20. Find the probability of…

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Q: You choose a letter at random from the alphabet. What is the probability that it will be the letter…

A: Given : we have given letter n, g, l, a, s  No. of letters = 5 No. of  alphabet = 26 One letter is…

Q: Five cards are drawn from a standard 52 – card deck. The probability that the first 2 cards are red…

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Q: Two cards are selected randomly from a standard deck of cards. Between eac draw the card selected is…

A: Given,no.of seven number cards=4no.of three number cards=4total no.of cards =52

Q: bag contains 5 green and 6 yellow marbles. Two marbles are drawn at random without replacement. If…

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Q: A single card is drawn from a standard deck of cards. Give the probability of drawing a face card as…

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Q: Albert takes a multiple choice quiz with 25 questions, each having four answer options. What is the…

A: Solution: Let X be the number of correct answers and n be the sample number of questions. From the…

Q: A bag of skittles contain 18 yellow , 12 green,  20 red , 10 orange and 14 purple skittles. Find the…

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Q: The batteries manufactured by a certain company are tested to see if they last as long as the…

A: Given, probability that a battery passes the test p=0.85 probability that a battery fail the…

Q: You hold a Poker hand with two Sevens, two Kings, and an Ace.  If you trade the Ace for a new card…

A: Given Data: n( sevens)=2 n( kings)=2

Q: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is…

A: We have  to find the probability of getting two numbers whose product is even

Q: Karlo wanted to pick a card randomly from a regular deck of 52 cards. What is the probability that…

A: According to the given information in this question We need to find the probability of getting a…

Q: A businessman commutes to his office in the city and back to his suburban home every day. There are…

A: 17. There are total 5 ways to go to office and same 5 ways to return home.

Q: A dice is rolled 3 times. What is the probability of having 3 dots in all 3 rolls? A. 1/2 B. 1/72…

A: It is given that dice are rolled 3 times. Thus the probability of getting a dot in the single role…

Q: 7. A bag contains the following marbles: 5 pink, 2 burgundy, 1 orange, 4 violet. Determine the…

A: Here the given information is  A bag contains the following marbles: 5 pink, 2 burgundy, 1 orange, 4…

Q: you roll a six-sides die.what is the probability that it is an even number or less than five.round…

A: Given that, You roll a six sided die. We are asked to find the probability that it is an even number…

Q: a deck, find the probability of getting these result. D. A 4 or 6 E. A 4 or a club F. A 6 or a spade

A: The deck has 52 cards in which 13 cards of spade, 13 cards of hearts, 13 cards of club and 13 cards…

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.