Probability Study Guide Name: In a standard deck of playing cards, there are 52 cards. 26 cards are red: 13 hearts and 13 diamonds. 26 cards are black: 13 spades and 13 clubs. Each suit has one of each card in it, so that there are 4 of each type of card in the entire deck. Find the following probabilities: 1. List everything in the sample space for a deck of cards: 2. P(drawing a black card) that's random p 13. P(high school diploma) 3. P(choosing a number that is not 2) 4. P(selecting a heart) Birds 10 10 Use the three-way Venn Diagram for questions 5-9. 5. How many total students are there? Cats 6 6. How many students like cats and dogs? Dogs 7. P(cats and dogs)? 8. P(cats or dogs)? 9. P(cats and dogs and birds)? the probl to west of these people and the first one had a High School Dip 10. A cooler contains an assortment of juice boxes: 8 grape, 4 apple, 5 orange. You are very thirsty so you pick a juice box at random, drink it, then pick another. What is the probability that you drink the following juice boxes exactly in this order: grape, orange, orange? 11. A club of 9 people wants to choose a board of three officers: President, Vice President, and Treasurer. How many ways are there to choose the board from the 9 people in the club?Researchers asked men and women about the highest degree they had obtained. Fill in the rest of the chart below and use it to answers questions 12-20. High Master's/ School Bachelor's Doctoral Diploma Degree Degree Total Male 16 46 65 Female 51 3 Total 28 6 12. What is the probability that a random person is male? 13. P(high school diploma) 14. P(not Bachelor's Degree) 15. P(Master's Degree) 16. P(High School Diploma) 17. P(High School Diploma or Bachelor's Degree) 18. What is the probability that you talk to two of these people and the first one had a High School Diploma and the second one had a Bachelor's Degree? 19. P(Master's Degree | Male) 20. What is the probability that someone is female if they have a Bachelor's Degree