probability and counting

1. Jenelle draws one from a standard deck of 52 cards. a.) Determine the probability of drawing either a king or a jack? Write your answer as a reduced fraction. Answer = b.) Determine the probability of drawing either a king or a spade? Write your answer as a reduced fraction. Answer = 2. The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year,. and the color of their cars. Speeding Ticket No Speeding Ticket Total Red Car 157 116 273 Not Red Car 135 137 272 Total 292 253 545 Find the probability that a randomly chosen person: a) Has a red car. = b) Has a speeding ticket. = c) Has a speeding ticket given they have a red car. = d) Has a red car given they have a speeding ticket. = e) Has a red car and got a speeding ticket. = () Has a red car or got a speeding ticket. = Write your answers in decimal form, rounded to the nearest thousandth. 3. A 5-digit PIN number is selected. What it the probability that there are no repeated digits? The probability that no numbers are repeated is = Write your answer in decimal form, rounded to the nearest thousandth 4. 5 letters are typed, with repetition allowed. What is the probability that all 5 will be vowels? Write your answer as a percent. Round to the nearest hundredth of a percent as needed. The probability is = 5. In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have a) If order matters? = b) If order does not matter? = 6. You are taking a quiz that has 11 multiple-choice questions.Jf each question has 6 possible answers, how many different ways are there to answer the test? 7. How many 4-letter passords can be made using the letters A thought Z if... a) Repetition of letters is allowed? b) Repetition of letters is not allowed