Probability & statistics

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Maria wanted to see if the new perfume collection she made would be purchased. So in order to know, she went to the mall and asked a few people to smell it and see if they would buy it. Identify the scenario as a population or sample...

A 4 digit pin lock is selected. What is the probability that there are no repeated digits? (round to the nearest thousandth)

If there are 20 dogs and 7 dogs will be chosen in order to go for a walk, in how many ways can the dogs be chosen?

Doctor Amber had developed a new treatment for those who suffer from insomnia. In order to know if this treatment is better than the current one, she will make two groups. One group will have the new treatment, and the other will have the current one. Nonetheless, Doctor Amber will not know which treatment will use each patient since a computer will make the selection randomly. Identify what kind of test is this scenario?

If I have a jar full of mexican coins, where 39 coins are of 5 pesos, 15 coins are of 1 peso and 27 coins are of 10 pesos. What is the probability of getting a 5 or a 1? (round to the nearest thousand)

A teacher is organizing a kahoot game where she will be giving 5 prizes, an exempt, homework pass, 10 points, 5 points and 1 point. If there are 18 students participating, in how many ways can the prizes be given?

In a shop there is a cowboy hat, a top hat, and an indonesian hat. Adding that it has four shirts: white, black, and pink. If a client chooses one hat and one shirt at random, what is the probability that he/she chooses the indonesian hat and black shirt?(round to the nearest thousandth)

During a research, a doctor took a random sample of people and examined their social media habits. Each person was classified as either a light, moderate, or heavy social media user. At the end, the doctor will just look at each group to find out which one tends to be happier. Identify what kind of study is this scenario?

If there is a package with colored mixed papers where eleven have drawn circles and the other seven have striped lines, what is the probability of getting a paper withdrawn circles and a paper with striped lines if there's no replacement? (round to the nearest thousand)

If there is a giveaway where there are five prizes, $500 pesos, a cake, a starbucks gift card, an ice cream and a chocolate and there were 5 participants. In how many ways can the prices be given?

Each of 5 cards has one of the letters A, B, C, D and E written on them. The cards are shuffled. What is the probability that the letters A and B are together? (round to the nearest tenth)