1. A paint store carries 16 brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store recently. She can't recall the brand name and does not wish to return home to find the old can of paint. So she selects 2 of thebrands at random and buys them. Complete parts a and b below.

a. What is the probability that she matched the paintbrand?

b. Her husband also goes to the paint store and fails to remember what brand to buy. So he also purchases of thebrands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband's selections independent of his wife's selections?)

2. A company has three black-and-white copy machines and two color copiers. Based on historical data, the chance that each black-and-white copier will be down for repairs is 0.15 . The color copiers are more of a problem and are down 25% of the time each. Complete parts a through d below.

a) Based on this information, what is the probability that if a customer needs a color copy, both color machines will be down for repairs?

b) If a customer wants both a color copy and ablack-and-white copy, what is the probability that the necessary machines will beavailable? (Assume that the color copier can also be used to make ablack-and-white copy ifneeded.)

3.Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems. Of thesetrucks, 78% are on interstate commerce while

22% are intrastate. Of the intrastatetrucks,

4.3% are flagged for safety defects compared to

0.9% of those that are on interstate business. Complete parts a through c below.

a)Calculate the probability that a randomly chosen truck is an interstate truck and is not flagged for a safety violation.

b) b. What is the probability that a randomly chosen truck does not have a safetydefect?

C?If two trucks are chosenrandomly, determine the probability that only one of the two does not have a safety defect.

1. A paint store carries 16 brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store recently. She can't recall the brand name and does not wish to return home to find the old can of paint. So she selects 2 of thebrands at random and buys them. Complete parts a and b below.

a. What is the probability that she matched the paintbrand?

b. Her husband also goes to the paint store and fails to remember what brand to buy. So he also purchases of thebrands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband's selections independent of his wife's selections?)

2. A company has three black-and-white copy machines and two color copiers. Based on historical data, the chance that each black-and-white copier will be down for repairs is 0.15 . The color copiers are more of a problem and are down 25% of the time each. Complete parts a through d below.

a) Based on this information, what is the probability that if a customer needs a color copy, both color machines will be down for repairs?

b) If a customer wants both a color copy and ablack-and-white copy, what is the probability that the necessary machines will beavailable? (Assume that the color copier can also be used to make ablack-and-white copy ifneeded.)

3.Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems. Of thesetrucks, 78% are on interstate commerce while

22% are intrastate. Of the intrastatetrucks,

4.3% are flagged for safety defects compared to

0.9% of those that are on interstate business. Complete parts a through c below.

a)Calculate the probability that a randomly chosen truck is an interstate truck and is not flagged for a safety violation.

b) b. What is the probability that a randomly chosen truck does not have a safetydefect?

C?If two trucks are chosenrandomly, determine the probability that only one of the two does not have a safety defect.