2. You have created a 6-digit password for your computer. Your brother tries to break in to your computer. What is the probability that he is successful on the first attempt? Ma Sah
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- A dog breeder has 19 puppies for sale, of which 10are yellow Labrador retrievers. If 8 puppies are selected at random, determine the probability they are all yellow Labrador retrievers. Assume that selection is to be done without replacement. Set up the problem as if it were to be solved, but do not solveA thief finds an ATM card and must randomly guess the correct four-digit pin code from a 6-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?Suppose that you have two quarters, one dime and three nickels in your pocket. You randomly select two coins one after another without replacement from your pocket. Find the probability that the first coin is a nickle given that the second coin is a quarter.
- Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a marble at random and then replace it in the jar. Find the probability that you select a green marble for the first time on the first or third or fifth attempt.A chest of pirate treasure has 8 fake coins, 6 plastic jewels, 5 painted stink bombs, and 2 priceless artifacts. If a person randomly selects one item from the chest, what is the probability that they select a priceless artifact? Write your answer as a decimal and round to three decimal places.Suppose you are going to form a committee of students and faculty. You have 9 total students and 18 total faculty to pick from. You want to have 9 total people on the committee. What is the probability that you select 2 students and 7 faculty, in that order? Enter your answer rounded to three decimals. Show your work. Enter the work that you used to get your answer.
- Suppose you toss a coin 100 times and get 61 heads and 39 tails. Based on these results, what is the probability that the next flip results in a head?A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key pad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?A box of jerseys for a pick-up game of basketball contains 10 extra-large jerseys, 7 large jerseys, and 4 medium jerseys. If you are first to the box and grab 2 jerseys, what is the probability that you randomly grab 2 large jerseys? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
- You pick 6 digits (0-9) at random without replacement, and write them in the order picked.What is the probability that you have written the first 6 digits of your phone number? Assume there are no repeats of digits in your phone number.Give your answer as a fraction.You have 5 nickels and 3 quarters in your pocket. You grab 3 coins at a random. What is the probability that you grab at least 2 nickels.Ms V has a box with 10 bags of M&Ms and 15 bags of Skittles. She is going to reach in and pick three bags of candy. What is the probability she picks at least one bag of skittles? (round your answer to one nonzero digit.)