1) Suppose that 38% 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.

2) In a large population, 54 % of the people have been vaccinated. If 4 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 least 3 places) or fraction.

3) A jar of 15 marbles contains:

• 6 Red
• 9 Blue

Select marbleswithreplacement until you have selected 4 Red marbles, then stop.

Compute the probability of selecting 7 marbles before you stop.

4)Suppose a jar contains 20 red marbles and 37 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

Show your answer as a fraction (reduced or unreduced) or a decimal rounded to four places.

5) If a seed is planted, it has a 95% chance of growing into a healthy plant.

If 6 seeds are planted, what is the probability that exactly 3 don't grow?

6) A jar of 32 marbles contains:

• 7 Red
• 11 Blue
• 14 Green

Select 13 marbleswithreplacement.

Compute the probability of selecting

• 5 Red
• 5 Blue
• 3 Green