Probability Conceptual

Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is 1/5. The probability of Larry staining his shirt during the dinner is 15%.

Which of these events is more likely?

• Harry stains his shirt during the dinner.

• Larry stains his shirt during the dinner.

• Neither. Both events are equally likelyl

Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:

P(Erin wins)=0.3

P(Anna wins)= 1/2

P(Elizabeth wins)=20%

Which of these events is the least likely possible?

• Erin wins

• Elizabeth wins

• Anna wins

You are at a sandwich shop. You can choose from white or rye bread, turkey or ham, and Swiss or American cheese to make your sandwich. All eight possible sandwich combinations are listed below.

If we take sandwiches 2 and 6 as a subset of the sample space, which of the statements below describe this subset?

Choose all answers that apply:

• The subset consist of all the sandwiches with white bread.

• The subset consist of all the sandwiches with ham.

• The subset consist of all the sandwiches without ham and without Swiss cheese.

• The subset consist of all the sandwiches with Turkey and American cheese.

The winter clothing drive has received donations of 5 coats, 23 pairs of gloves, 19 scarves, and 3 hats so far.

Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?

• 0.23

• 0.27

• 0.46

• 0.54

Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and 3 jazz songs on it. Mekala plans to listen to 270 songs.

Complete the following statement with the best prediction.

Mekala will listen to...

• Exactly 60 country songs.

• Close to 60 country songs but probably not exactly 60 country songs.

• Exactly 210 country songs.

• Close to 210 country songs but probably not exactly 210 country songs.

300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions.

Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat.

What is P(D and C), the probability that a student in the class has a dog and a cat?

• 2/3

• 3/5

• 1/2

• 5/6

300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions.

Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat.

What is P(D or C), the probability that a student in the class has a dog or a cat?

• 2/3

• 3/5

• 1/2

• 23/30