A lock on a bank vault has three dials each with 30 positions. For the vault to open, each dial must be in the correct position. What is the probability that if you randomly select a combination, you will be able to open the vault (report this as the whole number denominator of 1/x)?
total number of combinations on 3 dials =30*30*30 =27000
probability that if you randomly select a combination, you will be able to open the vault =1/27000
A lock on a bank vault has three dials each with 30 positions. For the vault...
A lock consists of 4 dials, where each dial has 3 letters. What is the probability of guessing the right combination in one try?
A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? 1. 1/7 2. 1/12 3. 1/24 4. 1/64
Please if possible give some reasoning on 5, thanks!
4. A bank vault has three locks with a different key for each lock. Each key is controlled by a different person. For the vault to open, at least two people must insert their key into their assigned lock. The signal lines A, B, and C are 1 if the appropriate key is inserted into lock 1, 2, or 3, respectively. Write an equation for the function F which is 1...
A combination lock has 40 numbers written on it. If you guess the correct 3 numbers in order the lock will open. A. What is the probability of opening the lock if its poorly made and you can land on the correct number +/- 1 and have it still work? I.e 17 becomes {16,17,18} B. what is the probability of opening the lock if the combination is set to a birthday and (b) holds?
14. A combination lock uses three numbers between 1 and 91 with repetition, and they must be selected in the correct sequence. Which of the five counting rules is used to find that number? How many different"combinations" are possible? Is the name of "combination lock" appropriate? If not, what other name would be better? Which of the five counting rules is used to find that number? A. Permutations rule (when all of the items are different) B.Combinations rule C.Factorial rule...
Lab 2 (ADTs) 1) LockADT – Show the interface and all abstract methods LockDataStructureClass – Show the following methods: default constructor, overloaded constructor, copy constructor, setX, setY, setZ, alter (change the lock’s combination to the numbers passed) turn (use for loops to show the dial turning), close (locks the lock), attempt (tries to unlock the lock – calls turn( ), inquire (locked or unlocked), current (returns the number the dial is pointing to), toString LockClientDemoClass – You should have a...
A multiple-choice test has 20 questions. Each question has 4 possible answers, of which only one is correct. (i) If you randomly answered each question, what is the name of the distribution for the number of possible marks you could achieve for the whole test? Explain your reasons and give the values for the parameters of that distribution.* (ii) If the pass mark for the test is 60% (i.e. 12 marks or more), what is the probability that you will...
The undercarriage of a commercial aircraft has three positions and there is an indication for each undercarriage. First, it is retracted, doors closed and locked in position, and there is no light indication in the cockpit. In the second position, the undercarriage is down and locked; this is shown as a green light in the cockpit for each undercarriage. When a red light shows then that undercarriage is neither up or down, but most importantly it is not locked in...
A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. (4) List the simple events in the sample space if order does not matter. You may use a code such as N = nickel 1, n = nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. (2) Show how to use a permutation or a combination formula to determine the number...
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the...