A Venn diagram with probability question:

A pet store keeps track of the purchases of customers over a four hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or product for a different kind of pet. She found

83 purchased a dog product

101 purchased a cat product

22 purchased a fish product

31 purchased a dog and a cat product

8 purchased a dog and a fish product

10 purchased a cat and a fish product

6 purchased a dog, a cat and a fist product

34 purchased a product for a pet other than a dog, cat or fish

3.1.How many purchases of dog product only?

3.2.How many purchases of cat product only?

3.3How many purchases of fish product only?

3.4.How many purchases for exactly one pet?

3.5.How many purchases for exactly two pets?

3.6.How many purchases for pets different than dog?

3.7.How many purchases for pets different than cat?

3.8.How many purchases for pets different than fish?

3.9.How many purchases for more than two pets?

3.10. What is the probability for the event that a randomly selected purchase will be for all 3 pets (dog, cat and fish)?

3.11.What is the probability for the event that a randomly selected purchase will be for a pet different than a dog, a cat and a fish?

3.12.What is the probability for the event that a randomly selected purchase will not be for a dog?

3.13.What is the probability for the event that a randomly selected purchase will not be for a cat?

3.14.What is the probability for the event that a randomly selected purchase will not be for a fish?

3.15.What is the probability for the event that a randomly selected purchase will be for a cat or for a dog?

Question 4.Four coins are tossed. What is the probability of the events of getting the following outcomes?

4.1.Exactly 3 Heads

4.2. Exactly 2 heads and 2 tails

4.3.Exactly 3 heads and one tail

4.4. At least 3 tails

4.5.At least 2 heads

Question 2.Two dice are rolled.What is the probability of the event that

5.1.The sum of the two dice is equal to 4

5.2.Both dice show even numbers

5.3.One of the dice shows an even number and the other one shows an odd number

5.4.Both dice show different numbers

Question 3.Rolling a die 3 times. What is the probability of the event that

6.1.The first time the die shows an even number, the second time shows and odd number and the third time shows the number 1?

6.2.The first time, the second time and the third time the die shows the number 6?

6.3.The first time, the second time and the third time the die shows a number greater or equal to 4?

6.4.The first time, the second time and the third time the die shows a number less than 3?

6.5.The first time the die shows a number greater than 3, the second time shows a number less than or equal to 5 and the third time shows the number 1?

6.6.The first time the die shows a number greater than 3, the second time shows a number less than or equal to 5 and the third time shows a number less than 1?