Suppose that 69% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to 4 places.

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from five people are combined and the mixture tests negative, we know that all five individual samples are negative. Find the probability of a positive result for five samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.11. Round the answer to four decimal place accuracy.

In a large population, 51 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal to at 4 places.

Round all answers to 4 decimal places.

a. A bag contains9bluemarbles,6blackmarbles, and8yellowmarbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first abluemarble and then ayellowmarble?

b. A bag contains6redmarbles,8yellowmarbles, and9blackmarbles.If two different marbles aredrawn from the bag, what is the probability of drawing first aredmarble and then ablackmarble?

A jar contains 10 red marbles numbered 1 to 10 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event,please show your answers as reduced fractions. (a) The marble is red. P(red)=

(b) The marble is odd-numbered. P(odd)=

(c) The marble is red or odd-numbered. P(red or odd) =

(d) The marble is blue or even-numbered. P(blue or even) =

A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct. Report the answer as a percent rounded to two decimal place. Probability = %

You roll two six-sided fair dice.

a. Let A be the event that the first die is odd and the second is a 4, 5, or 6. P(A) = Round your answer to four decimal places.

b. Let B be the event that the sum of the two dice is 10. P(B) = Round your answer to four decimal places.

Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

G₁= the first card drawn is green G₂= the second card drawn is green

a. P(G₁and G₂) =

b. P(At least 1 green) =

c. P(G₂|G₁) =

At a drug rehab center 37%experience depression and 30%experience weight gain. 12% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)

a. experiences neither depression nor weight gain.

b. experiences depression given that the patient experiences weight gain.

c. experiences weight gain given that the patient experiences depression. (round to 4 decimal places)