In Pamplona, Spain, a tombola organizes different raffles during the festivals. In each raffle, only 2 tickets out of n win a prize. The tickets are sold consecutively, and the prize is immediately announced when one person wins. Two friends have decided to take part in one of the raffles in the following way: One of them buys the first ticket on sale, and the other one buys the first ticket after the first prize has been announced. Derive the probability that each of them wins a prize. If there are m raffles during the night in which the two friends participate, what is the probability that each of them wins more than one prize?

Q: A salesman finds he can make one sale for every four calls he makes. If he makes five sales calls,…

A: Let, X=the number of sales he makes n=number of trials= 5 p=probability of success= 1/4=0.25 X…

Q: group of 5 people each bring an unwrapped gift for a holiday gift exchange. The elves come and…

A: We have to find given probability.

Q: Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is…

A: Given Data : Bag A contains 6 red and 7 black balls                       Bag B contains 9 red and 6…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Find the probability that Suzan get all the red marbles as follows. The total number of outcomes is…

Q: Find the probability that hiking and bike ride are chosen consecutively, in either order.

A: We have 6 activities :  1. shopping 2. picnic 3. hiking 4. swimming 5. bike ride 6. movie We need to…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Total Marbles = 3 Red + 4 Green + 3 White + 1 Purple = 11 To Find P(Not all red) = 1 - P(All red)

Q: A men is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given that the bag has 3 red marbles, 2 green ones, 5 white ones, and 2 purple ones. So there are…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: A grade 10 board of officers of a school consists of 3 girls and 6 boys. A committee of 5 officers…

A: Total number of students = 9 Number of girls = 3 Number of boys = 6 We need to select exactly 2…

Q: grabs five of them. Find the probability of the following event, expressing it as a fraction in…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: There are 4+3+4+1 =12 marbles in the bag. 7 marbles are drawn at random. Define the random variable,…

Q: Four dice are thrown simultaneously. Find the probability that all of them show the same face.

A:

Q: Let two cards be dealt​ successively, without​ replacement, from a standard​ 52-card deck. Find the…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given that the bag has 2 red marbles, 3 green ones, 2 white ones, and 2 purple ones. So there are…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Lets, specify the event E as, Suzan has no more than one white marble among the 5 marbles. The…

Q: Suppose a family consisting of a father and a son plays a "Gambler's ruin" game for the Chinese New…

A: Let:q be the probability of the father winning a token.p be the probability of the son winning a…

Q: If Mrs. Hiatt chooses two students, what is the probability that Emily will not be one of them?

A: Mrs. Hiatt puts the names of all 15 of her second period students on popsicle sticks and places them…

Q: Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability…

A: Standard deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into…

Q: Three cards are drawn from a deck without replacement. Find the probability the first card is a…

A: the first card is a spade, the second card is a club, the third card is a black card.

Q: When the three friends play The Duck Game together, Kiara draws first, then Denny , and then Rayanna…

A: p=(25/50)*(20/49)

Q: An aquarium at a pet store contains guppies (25 females and 8 males) and 36 tetras (14 females and…

A: Given data is shown in the table   female male total guppies 25 8 33 tetras…

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: A single card is selected from a standard deck of 52 cards. Find the probability that the card is a…

A: Given 1 card is drawn, what is the probability that, 1 three card is DIAMOND .Total number of ways…