In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Otherwise, they lose $1. What is the expected value of this game

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: Receipts often show the last four digits of a credit card number. If only those last four digits are…

A: For n no. of independent experiments, each experiment having m no. of possible options, the total…

Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

A: Given  A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

Q: In a particular lottery, 5 winning numbers are drawn from a set of 41 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

Q: Suppose you have decided to play the lottery in a state where you choose 6 numbers from 1 to 36. If…

A: N = Universe = Number of ways to select 6 numbers from 1 to 36 M = Successful cases = Number of…

Q: A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a diamond…

A: Total no.of cards=52no.of diamond cards=13

Q: Suppose you draw a single card of 52 cards. What is the probability of drawing a black three

A: Here's we know that 26 black cards in a deck of 52 cards.

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: In a 52-number lottery, what is the probability that you will get the winning ticket (6 numbers out…

A: Given : Total number of lottery = 52

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

A:

Q: A true-false quiz has 7 questions. A student makes random guesses on each question. What is the…

A: Given Information: A true-false quiz has 7 questions. A student makes random guesses on each…

Q: A person gets to draw one card at random from a jar with four cards for a cash price . The card…

A: Given No. of randomly selected draw card=1 Total cards in jar=4 Card values =1, 2, 4, and 5

Q: A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a king…

A: Answer: From the given data, Total number of cards = 52 If one card is drawn from a well shuffled…

Q: In a certain​ lottery, you must correctly select 4 numbers​ (in any​ order) out of 28 to win. You…

A:

Q: You randomly draw five cards from a standard 52-card deck.What is the probability of getting exactly…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

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

A:

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: You draw one card at a time from a deck of 52 cards. What is the probability that the second card…

A: From the provided information,Total cards in a deck = 52Total aces = 4

Q: you are dealt 5 cards from a standard deck of cards. what is the probability you are dealt at least…

A: From a standard deck of 52 cards, there are 13 diamond cards.

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: In a game with four players, each are dealt 13 cards from a standard 52 card deck. What is the…

A: Introduction: Each of the 4 players are dealt with 13 cards, evidently randomly, from the standard…

Q: suppose you have 6 tennis balls and you randomly pick some number of them. What is the probability…

A: Given: There are 6 tennis balls. You randomly select some number of balls. Required: To find the…

Q: In a states pick 3 lottery game, you pay $1.43 to select a sequence of three digits (from 0 to 9)…

A: Given pay $1.43 to select a sequence of three digits (from 0 to 9) such as 133. If you select the…

Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…

A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4

Q: random from a standard 52-card deck. What is the probability of drawing a black card or a 10?

A: Given that A card is drawn at random from a standard 52-card deck. Total number cards in a deck (n)…

Q: You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose…

A: When we are working on probability, we are talking about uncertainty. When a coin is tossed, we do…

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: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: Suppose you are invited to play a game in which you bet $1 on any number from 000 to 599. If your…

A: Number from 000 and 599  If your number comes up you get $300  We have to find Expected wining