Statistics
Probability
Counting Techniques
Counting Techniques With Probability
100

High school students are making a survey about which are the ice cream flavors that the cafeteria sells more (chocolate, vanilla, napolitano, and strawberry). What is the variable?

Which are the most sold ice cream flavors in the cafeteria?

100

You have a bag full of marbles; 6 blue, 3 red, 5 green, 4 purple, and 2 pink. What is the probability of choosing a pink marble, replacing it, and then choosing a blue one?

What is P(pink and blue) 2/20 * 6/20 = .03 ?

100

If you have 3 different shirts, 4 different pants, and 2 different pairs of shoes, how many outfit options are there?

What is 24 ?

100

From a class of 10 girls and 10 boys. What is the probability of choosing a group of 4 boys?

What is P (group of 4 boys) = .043 ?

200

In a race they are going to do a survey in order to give participants a shirt of their size. The sizes can be small, medium, or large. Is the variable qualitative or quantitative? What is the level of measurement?

What is Qualitative, Ordinal?

200

Luciana had 2 strawberries, 4 lemon, 6 coffee and 1 spicy ice popsicles in her bag. What is the probability of her taking out and eating a lemon popsicle and then a spicy pop popsicle?

What is P(lemon and spicy pop popsicle)=.024 ?

200

A teacher has 4 students and 4 chocolates (milky way, snickers, kitkat, milka) how many ways can the chocolate be distributed among the students?

What is 24 ?

200

A teacher is randomly selecting a president and a vice president for her classroom. If there are 20 students in her classroom what is the probability that Amanda and Valeria will be chosen as president and vice president in respective order?

What is .003 ?

300

There is 1 male lion and 1 female lion in different cages at a zoo. A scientist will provide them enough food for 4 days in a single ration to see how they will manage their food. He wants to see how differently they will react to all that amount of food in one single ration. Is this an experiment or an observational study?

What is Experiment?

300

What is the probability of getting a 1 or 4 in a deck of cards?

What is P(1 or 4) 4/52 + 4/52 = .154 ?

300

They are 100 runners participating in a race. How many ways can they be a first, second, and third place?

What is 970200 ?

300

I have 5 red shirts, 3 blue shirts, 2 yellow shirts, 3 denim skirts and 2 white jeans. How many outfits can I make? What is the probability of randomly choosing a blue shirt with a denim skirt?

What is 180 possible outfits?

What is P(blue shirt and denim skirt) 3/15 * 3/15= .04 ?

400

There is a medical trial in Torreón’s hospital that is testing whether or not people will react to a certain treatment. Half of the people in the trial will receive the treatment and the other half will receive a placebo. No one will know which of the patients receive the treatment and which receive the placebo except for the doctor who gives them. Who is in the control group and who is in the experimental group?

What is 

Control Group → The ones receiving the placebo.

    Experimental Group → The ones receiving the treatment.

?


400

You have to roll a dice and to win you need to score a 4 or an even number. What is the probability of scoring a 4 or an even number?

What is P(4 or even number) 1/6 + 3/6 - 1/6 = .5 ?

400

They are 3 chocolates and 20 students. Three random students will receive a chocolate. How many ways can the chocolates be given?

What is 1140 ?

400

A person buys a ticket to win the lottery made up of three digits from 1-5 and there will only be one winner. If the tickets are now sold out, what is the probability this person will win?

What is .008 ?