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Algebra 2 Compound Probability

HW 9.4 Name: Date: Collaborator:

1.) A card is randomly selected from a deck of 52. Find the probability of drawing the given card: a.) A king and a diamond

b.) A king or a diamond

c.) A spade or a club

d.) A 4 or a 5

e.) A 6 and a face card

f.) Not a heart

2.) Find the indicated probability. Determine whether A and B are disjoint events. a.) P(A) = 0.25, P(B) = 0.4 P(A or B) = 0.5 Find P(A and B)

b.) P(A) = 0.6, P(B) = 0.32 P(A and B) = 0.25 Find P(A or B)

3.) Two 6-sided dice are rolled. Find the probability of the given events. a.) The sum is 3 or 4

b.) The sum is less than 8 or greater than 11

1

Algebra 2 Compound Probability

HW 9.4 Name: Date: Collaborator:

4.) You and your friend are running for president. There’s a 45% chance you win and a 25% chance your friend wins. What is the probability that either you or your friend win?

5.) Answer the following given the information provided: a.) 40% of tomatoes grown at a farm are partially rotten, 30% have been fed on by insects, and 12% are partially rotten and have been fed on by insects. What is the probability that a randomly selected tomato is partially rotten or has been fed on by insects?

b.) 20% of the tomatoes have chipmunk bite marks and 7% have bite marks and are partially rotten. What is the probability that a tomato has bite marks or is partially rotten?

c.) Suppose the farmer finds that 6% of the tomatoes have bite marks and have been fed on by insects. Do you have enough information to determine the probability that a randomly selected tomato has been fed on by insects or is partially rotten or has bite marks? If not, what other information do you need?

2

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HW 9.4 Name: Date: Collaborator:

1.) A card is randomly selected from a deck of 52. Find the probability of drawing the given card: a.) A king and a diamond

b.) A king or a diamond

c.) A spade or a club

d.) A 4 or a 5

e.) A 6 and a face card

f.) Not a heart

2.) Find the indicated probability. Determine whether A and B are disjoint events. a.) P(A) = 0.25, P(B) = 0.4 P(A or B) = 0.5 Find P(A and B)

b.) P(A) = 0.6, P(B) = 0.32 P(A and B) = 0.25 Find P(A or B)

3.) Two 6-sided dice are rolled. Find the probability of the given events. a.) The sum is 3 or 4

b.) The sum is less than 8 or greater than 11

1

Algebra 2 Compound Probability

HW 9.4 Name: Date: Collaborator:

4.) You and your friend are running for president. There’s a 45% chance you win and a 25% chance your friend wins. What is the probability that either you or your friend win?

5.) Answer the following given the information provided: a.) 40% of tomatoes grown at a farm are partially rotten, 30% have been fed on by insects, and 12% are partially rotten and have been fed on by insects. What is the probability that a randomly selected tomato is partially rotten or has been fed on by insects?

b.) 20% of the tomatoes have chipmunk bite marks and 7% have bite marks and are partially rotten. What is the probability that a tomato has bite marks or is partially rotten?

c.) Suppose the farmer finds that 6% of the tomatoes have bite marks and have been fed on by insects. Do you have enough information to determine the probability that a randomly selected tomato has been fed on by insects or is partially rotten or has bite marks? If not, what other information do you need?

2

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