applying probability rules quiz

In a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout. The Venn diagram displays the campers' preferences. A camper is selected at random. Let S be the event that the camper likes to swim and let C be the event that the camper likes to have a cookout. What is the probability that a randomly selected camper likes swimming or having a cookout, but not both?

(THIS ANSWER IS WRONG) 0.01

Executives for a car dealership are interested in the sales for the type of vehicle, SUV or truck, and the type of power train, two-wheel drive (2WD), four-wheel drive (4WD), or all-wheel drive (AWD). The data from the sales of 165 vehicles are displayed in the two-way table. A vehicle is randomly selected. Let T be the event that the vehicle is a truck and A be the event that the vehicle has all-wheel drive. What is the value of P(TC and AC)?

(THIS ANSWER IS WRONG) 0.32

In a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout. The Venn diagram displays the campers' preferences. A camper is selected at random. Let S be the event that the camper likes to swim and let C be the event that the camper likes to have a cookout. What is the probability that a randomly selected camper likes to have a cookout?

(THIS ANSWER IS WRONG) 0.89

A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly selected. Let M be the event that the participant brought a microwave and let C be the event that the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant brought both a microwave aAND a console, P(M and C)?

(THIS ANSWER IS WRONG) 0.90

Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table. A survey participant is randomly selected. Let S be the event that the participant prefers soccer and let T be the event that the participant prefers a T-shirt. What is the value of P(S and T)?

0.03

In a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout. The Venn diagram displays the campers' preferences. A camper is selected at random. Let S be the event that the camper likes to swim and let C be the event that the camper likes to have a cookout. What is the probability that a randomly selected camper does not like to have a cookout?

0.07

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers. A randomly selected customer is asked if they like hot or iced coffee. Let H be the event that the customer likes hot coffee and let I be the event that the customer likes iced coffee. What is the probability that the customer only likes iced coffee?

0.08

Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table. A survey participant is randomly selected. Let F be the event that the participant prefers football and let N be the event that the participant prefers the foam finger. What is the value of P(F and N)?

0.13

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color. What is the probability that a randomly selected participant dreams in black and white or color?

0.13

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers. A randomly selected customer is asked if they like hot or iced coffee. Let H be the event that the customer likes hot coffee and let I be the event that the customer likes iced coffee. What is the probability that the customer likes neither hot nor iced coffee?

0.17

Travel agents collected data from recent travelers about their modes of transportation for their vacations. They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train. What is the value of P(A and Tc), which is represented by 1 in the Venn diagram?

0.30

A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorite music genre. The two-way table displays the distribution of the responses. A participant is randomly selected. Let C be the event that the participant prefers country music and let T be the event that the participant is a teen. What is the value of P(Cc and Tc)?

0.45

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers. A randomly selected customer is asked if they like hot or iced coffee. Let H be the event that the customer likes hot coffee and let I be the event that the customer likes iced coffee. What is the probability that a randomly selected customer likes hot or iced coffee?

0.83

A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly selected. Let M be the event that the participant brought a microwave and let C be the event that the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant brought a microwave OR a console, P(M or C)?

0.90

Executives for a car dealership are interested in the sales for the type of vehicle, SUV or truck, and the type of power train, two-wheel drive (2WD), four-wheel drive (4WD), or all-wheel drive (AWD). The data from the sales of 165 vehicles are displayed in the two-way table. A vehicle is randomly selected. Let S be the event that the vehicle is an SUV and let D be the event that the vehicle has 4WD. What is the value of P(S and DC)?

it is not 0.23 or 0.41