Let sample space S = {10, 11, 12, ..., 42}, event A include odd numbers between 13 and 25, and event B include numbers {16, 17, 18, ...}. Use this information for answer questions 1 through 4

1) Find B'

Compute Probability for the following

2) P(A')

3) P(A or B) = ?

4) P(A|B) = ?

Determine whether the events are mutually exclusive.

5) Draw one ball colored white from a bag.

Draw one ball colored black from the same bag.

Is Event B dependent or independent of Event A?

6) A: A yellow ball is drawn from a box with 10 balls and placed next to the box.

B: A black ball is drawn next and placed next to the yellow one.

Find the indicated probability

7) If a person is randomly selected, find the probability that his or her birthday is not in February. Ignore leap years.

8) If you pick a card at random from a well shuffled deck, what is the probability that you get a heart that is not a face card?

9) A study consumer smoking habits includes 183 people in the 18-22 age bracket (45 of whom smoke), 137 people in the 23-30 age bracket (33 of whom smoke), and 99 people in the 31-40 age bracket (24 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-3- or smokes. State your answer as a decimal to three decimal places.

10) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or an 9?

11) A die with 6 sides is rolled. What is the probability of rolling a number less than 5?

12) The table shows the soft drink preferences of people in three age groups.

Under 21 years of age: (Cola) 40; (Root Beer) 25; (Lemon-lime) 20

Between 21 and 40: (Cola) 35; (Root Beer) 20; (Lemon-lime) 30

Over 40 years of age: (Cola) 20; (Root Beer) 30; (Lemon-lime) 35

If one of the 225 subjects is randomly selected, find the probability that the person is between 21 and 40 years of age and prefers cola drink.

13) Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

14) What is the probability that five randomly selected people all have different birthdays? Use a non-leap year. State your answer as a decimal to four decimal places.

15) A sample of 4 different calculators is randomly selected from a group containing 40 that are defective and 30 that have no defects. What is the probability that all four of the calculators selected are defective.