Anne and her friend Shaquille decide to play an escape game. One of the challenges requires them to unlock a lock. The l

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Anne and her friend Shaquille decide to play an escape game. One of the challenges requires them to unlock a lock. The lock has a 6-digit combination, where each digit is some number between 0 and 9, and only one of these digits in each location is correct. To unlock it, the players need to place only four or more of the numbers in the correct location. Rather than looking for clues, they decide to randomly guess the combination. What is the probability that Anne and Shaquille are able to open the lock with a random guess on the first try? Note: Round to the nearest ten thousandth if necessary.

The Ogden Senior High School chorus wants to go to Chorus-O-Rama (the annual Weber County chorus festival) and perform. To go, they need at least 20 students in the chorus to convince their parents to pay $200 for the trip to Chorus-O-Rama. If there are 30 students in the chorus, and each student has a 75% chance of convincing their parents to pay $200 dollars, what is the probability that the Ogden HS Chorus makes it to the event? Note: Round to the nearest thousandth.

A study shows that 96% of American car owners drive a car with an automatic transmission. If 25 American car owners are chosen at random, what is the probability that more than one person in the sample drives a car with a manual transmission? (Assume independence between car owners.) Note: Round to the nearest thousandth.