Please get in groups of 3 (you need 8 half sheets of paper) Probability Review Please get in groups of 3 (you need 8 half sheets of paper)

List the letter of the following situations if they are independent. (you can have more than one answer) A) Rolling a die and then rolling another die B) Choosing two cards out of a deck without replacement C) Choosing a card out of deck and then flipping a coin D) Having four children. E) Randomly choosing a movie to see on Friday night and then randomly picking a different movie to see on Saturday night. #1

A, C and D #1 answer

Shade a Venn diagram so that it shows (AUC) B #2

#2 answer

The probability that a family owns a DVD player is The probability that a family owns a DVD player is .71 and the probability that the family owns a sewing maching is .48. Assume that these events are independent. What is the probability that a randomly chosen family owns a sewing machine OR DVD player? (hint: you need a formula) #3

Ans: .71+.48-(.48)(.71)= .8492 #3 answer

What is the probability of rolling two die and getting a sum of a prime number or a number larger than 10? #4 1 2 3 4 5 6 7 8 9 10 11 12

15/36 + 3/36 – 2/36 = 16/36 #4 Answer

#5 Find the following probabilities if a person is picked at random College Graduate Not a college Grad Smoker 35 80 Non-smoker 130 175 #5 Find the following probabilities if a person is picked at random P(smoker or college graduate) P(non smoker | college graduate) P(non graduate | smoker) (2 correct gives you one pick, three correct gives you two picks)

A) 245/420 B) 130/165 C) 80/115 #5 Answer

A family is going to have exactly three children A family is going to have exactly three children. They would love to have both genders. What is the probability they have both genders? #6

6/8 = ¾ (hint: a tree diagram helps) #6 Answer

You pick two cards out of a well shuffled deck without replacement You pick two cards out of a well shuffled deck without replacement. What is the probability that they are both not hearts? #7

(39/52)(38/51)= 1482/2652 = 371/663=.56 #7 Answer

A family has three children A family has three children. If you know they had at least one girl, what is the probability that they had all girls? #8

1/7 Again a tree diagram helps. #8 Answer