Homework Probability 1 (5 Questions) 1. Ms. Romanoff is going to flip a coin 5 times. If she gets tails all 5 times, she is going to excuse all her students from their next test. What is the probability that Ms. Romanoff's students will NOT have to take the test? Enter your answer as a decimal exactly as it appears in your calculator. l 2. At a high school, 14% of all students play a sport and 9% of all students play a sport and participate in a club. What is the probability that a student participates in a club given that they also play a sport? A. 0.05 8. 0.126 C. 1.556 I). 0.643 3. In a standard deck of cards, there are 52 cards. There are 4 of each type of card [4 2'9, 4 3'5, 4 (1'5, etc.). What is the probability of drawing 3 queens in a row, if you do not put a card back in the deck once it has been drawn. Round your answer to the nearest thousandth (3 decimal places). A. 0.046% B. 0% C. 0.018% D. 7.692% 4. Alex is making cookies. He has 15 different recipes for cookies, and he is going to choose 3 of them to make. He dQQ'I. want to make one recipe more than once. How many different assortments of cookies can he make? A. 680 B. 3375 C. 2730 D. 455 5. Mr. Wayne _i_1_a__s__t_g choose a new password for his vault. The rst 3 digits must be numbers between 0 and 9. The last 3 digits must be letters between A and 2. How many unique passwords can he create if he isggwedtg duplicate numbers and letters? (Type your answer using only numbersmo decimals or commas) l