A lock consists of 2 dials, where each dial has 6 letters. What is the probability...

A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?

Expert Solution

orchestra answered 1 year ago

Imagine you have a rotary combination lock with many dials. Each dial has the digits 0...

Imagine you have a rotary combination lock with many dials. Each dial has the digits 0 - 9. At any point in time, one digit from each dial is visible. Each dial can be rotated up or down. For some dial, if a 4 is currently visible then rotating the dial up would make 5 visible; rotating the dial down would make 3 visible. When 0 is the visible digit then rotating down would make 9 visible. Similarly, when 9...

A combination lock has a 1.3-cm-diameter knob that is part of the dial you turn to...

A combination lock has a 1.3-cm-diameter knob that is part of the dial you turn to unlock the lock. To turn that knob, you grip it between your thumb and forefinger with a force of 4.0 N as you twist your wrist. Suppose the coefficient of static friction between the knob and your fingers is 0.75. A)What is the most torque you can exert on the knob without having it slip between your fingers?

A swedish license plate consists of three letters followed by three digits. Find the probability that...

A swedish license plate consists of three letters followed by three digits. Find the probability that a randomly selected plate has a) no duplicate letters b) no duplicate digits c) all letters the same d) only odd digits e) no duplicate letters and all digits equal

(a) A bank’s safe has 5 dials each of which can be set to a number...

(a) A bank’s safe has 5 dials each of which can be set to a number from 0 to 36 (so each dial has 37 possible settings). i. How many different ways can the 5 dials be set? ii. How many settings are there if no two dials may be set to the same number? iii. How many possible settings are there if all the numbers must be even (count 0 as even), and duplicate numbers are permitted? iv. Re-do...

2)The letters of the word EXCELLENT are arranged in a random order. Find the probability that:...

2)The letters of the word EXCELLENT are arranged in a random order. Find the probability that: a. the same letter occurs at each end. b. X,C, and N occur together, in any order. c. all 9 letters occur in alphabetical order.

Each of the first 6 letters of the alphabet is printed on a separate card. The...

Each of the first 6 letters of the alphabet is printed on a separate card. The letter “a” is printed twice. What is the probability of drawing 4 cards and getting the letters f, a, d, a in that order? Same question if the order does not matter.

Scatterbrain Samantha often forgets to lock her house. This has caused the probability of a burglary...

Scatterbrain Samantha often forgets to lock her house. This has caused the probability of a burglary to be 30%. If her house gets broken into, she faces a property loss of $10,000, otherwise she gets to keep her $100,000. If Samantha is offered an insurance policy for her house to protect her from loss at $3,000, what is her expected wealth. a) $87,000 b) $99,000 c) $97,000 d) $80,000

a code is 4 random letters and 3 random digits. what is the probability of the...

a code is 4 random letters and 3 random digits. what is the probability of the 4 letters all being different while the 3. numbers at the end are in ascending order? b) in a group of 10 codes.... what is the probability that at least two have all different letters and numbers in ascending order c) in 1000 codes what is the wxpected value and standard deviation for the codes with all different letters and ascending digits

100 words each question no plagiarism please 1 What are FDA warning letters 2 What can...

100 words each question no plagiarism please 1 What are FDA warning letters 2 What can happen if the company don't correct the violations?

a)Suppose A and B are disjoint events where A has probability 0.5 and B has probability...

a)Suppose A and B are disjoint events where A has probability 0.5 and B has probability 0.4. The probability that A or B occurs is B) The expected return of a kind of stock is 12% with standard deviation 10%. The expected return of a kind of bond is 4% with standard deviation 2%. The covariance of the return of the stock and of the bond is -0.0016. What is the standard deviation of a portfolio of 20% invested in...

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