A modified roulette wheel has 28 slots. One slot is 0, another is 00, and the others are numbered 1 through 26, respectively. You are placing a bet that the outcome is an odd number. (In roulette, 0 and 00 are neither odd nor even.) .... a. What is your probability of winning? The probability of winning is (Type an integer or a simplified fraction.) b. What are the actual odds against winning? The actual odds against winning are c. When you bet that the outcome is an odd number, the payoff odds are 1:1. How much profit do you make if you bet $11 and win? If you win, the payoff is $

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: A six-sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of…

A: Given the die has six faces numbered 1, 2, 3, 4, 5 and 6 The sample space, S= { 1, 2, 3, 4, 5, 6 }…

Q: Consider the experiment of drawing a card at random from a shuffled deck of 52 cards. What is the…

A: Let B be an event of  drawing a black card, thenPB =no. of black cardstotal no. of cards=2652=0.5

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

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

Q: Given a standard deck of cards, and you draw a single card at random. What are the odds against…

A: A standard deck of cards contains 52 cards in total. There are 4 cards with number 6 and four cards…

Q: What is the probability of each event when randomly drawing one card from a standard deck of eards?…

A: Given data: The total number of cards in a playing deck is n=52. 1) The numbers of the king are k=4.…

Q: In a standard deck of cards, what is the probability of picking a black face card?  [ P(black face…

A:

Q: Do you know what the message below says? If the 20 marbles used to spell the word are placed in a…

A:

Q: Given a standard deck of cards, and you draw a single card at random. What is the probability of…

A: no.of 7 numberd cards=4no.of 8 numberd cards=4total no.of cards=52

Q: Given a standard deck of cards, and you draw a single card at random. What is the probability of…

A:

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5).  What is the probability…

A: The sample space for two five-sided dice is : S= {(1,1)(1,2)(1,3)(1,4)(1,5)…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: A card is randomly selected from a well-shuffled standard deck of 52 cards.

Q: Given a standard deck of cards, and you draw a single card at random. What are the odds against…

A:

Q: probability of holding: a) two aces and two kings? b) five spades? c) A, K, Q, J, 10 of the same…

A: Here 5 cards are selected without replacement from total 52 cards

Q: What is the probability of rolling a number greater than 3 on a standard six-sided number cube?

A:

Q: What is the probability that a five-card poker hand contains exactly two aces?

A: There are 52 cards in the standard deck and 4 aces.

Q: When rolling a fair, six-sided number cube, what is the probability of rolling an even number or a…

A: The even numbers are 2, 4, 6. Numbers less than 3 are 1, 2. So, an even number or a number less than…

Q: If one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the…

A: Solution: A standard deck of 52 cards contain 13 diamond cards. Here, one card is to be selected…

Q: The Betropolis High School Olympiad distributes 50 medals to boys and girls as follows.   Gold…

A: 1) The probability of getting a Gold medal is given by: The probability of getting a Gold medal =…

Q: a hotel has 22 king-size beds, 29 queen-size beds, 36 double beds, and 30 twin beds, what is the…

A: Given that  The hotel has  King size beds = 22 Queen size beds = 29 Double beds = 36 Twin beds = 30…

Q: Given a fair coin and a fair 6-sided die, what is the the probability that a single flip of the coin…

A: Given a fair coin and a fair 6-sided die Let P(A) = P(a fair coin is tossed) = 12       P(B) = P(a…

Q: What is the probability of drawing a red 7, keeping it, and the drawing a spade?

A: There are 2 red 7 cards.  1 is 7 of hearts and 1 is 7 of diamonds.  So we can select a red 7 card in…

Q: Ink Inc., a publishing firm, offers its 899 employees a cafeteria approach to benefits, in which…

A:

Q: How many possible outcomes would there be if four dice were rolled?

A: we know that if n dice are rolled than the possibleoutcomes are6×6×6×6×.......×6ntimes=6n

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: (a) What is the probability that a respondent is male? (b) What is the probability that a respondent…

A: As per our guidelines, we are allowed to answer three subparts per question, Please ask part d a s…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Solution: A standard deck of 52 cards contain 13 hearts, 4 queen and only one 1 queen is hearts.

Q: You randomly select one card from a standard 52-card deck of playing cards. What is the probability…

A: Given, deck contains 52 cards i.e., n(S)= 52   Number of 5 number  red cards in a deck= 2 Number of…

Q: A fair red, green, blue and yellow spinner is spun and a 6-sided die is rolled. Determine the…

A: Given : A fair red, green, blue and yellow spinner is spun Hence, the probability of spinning any…

Q: In a​ two-card hand, what is the probability of holding two​ kings?

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

Q: Given that a 5 - card poker hand is dealt from a standard deck of 52, find the probability of not…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: In the Math Club, 6 of the 22 girts are seniors, and 6 of the 19 boys are seniors, What is the…

A:

Q: a deck of cards, what is the probability of getting the following: a. A red card? b. A face card or…

A: Since we know that in standard deck there are  52 cards  total

Q: When rolling two standard six-sided dice and adding the numbers, what is the probability of the…

A: Solution Dear students as per guidelines we answer the first three subparts only.

Q: Using a standard 52-card deck, find the following probabilities. Leave your answer as a reduced…

A: Given: A standard deck of 52 cards. a. A card is randomly drawn: As all cards in a standard deck of…

Q: What is the probability that a five-card poker hand contains a flush, that is, five cards of the…

A:

Q: In rolling a fair die once, what is the probability of rolling a 1 or an even number?

A:

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find ​(a) the probability…

A: The number of cards in a deck of cards is 52.

Q: in the the game of texas hold'em, a player is dealt tow cards(called hole cards) from a standard…

A: The probability of an event can be defined as follows:

Q: If you randomly pick a card out of a standard deck, what is the probability the card will NOT be a…

A: There are total 52 cards  in a standard deck in which Kings= 4 Queens= 4 Diamond= 11+(king+queen) =…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: There are 52 cards in a deck of cards. Among them 13 cards are diamond.We can pick any card in…

Q: In a standard deck of cards, what is the probability of picking a diamond card?  [ P(diamond) ]

A: The deck of standard cards. Let, x is the total number of cards in a standard deck of cards. y is…

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find  (a) the​…

A: For the experiment of drawing a single card from a standard​ 52-card deck,   a) the​ probability of…

Q: Suppose you select a letter at random from the word MISSISSIPPI. What is the probability of NOT…

A:

Q: What is the probability of randomly picking a 11 or 5 in one draw from a deck of ordinary playing…

A:

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5). What is the probability…

A:

Q: What is the probability of drawing a 7 from a standard deck of 52 cards?

A: Given : In a standard deck of 52 cards, there are 4 suits of 13 cards each. 4 cards are 7(2 black…

Q: A spinner with 10 equally sized slices is shown below. (3 sices are blue, 2 are red, and 5 are…

A: Let A be the event "The dial stops on a blue slice" and B be the event "The dial stops on a red…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.