Probability of Guessing a Combination Lock on the First Try

A typical "combination" lock is opened with the correct sequence of three numbers between 0 and 49 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

Solution Preview

The chances of guessing the first number is one out of 50 (0 to 49- so you have 50 possible numbers), or 1/50

Since we can repeat the same number in the ...

Solution Summary

115 words to explain and show the calculations to finding the probability that someone guesses the correct three numbers to open a combination lock.

1. In a genetics experiment on peas, one sample of offspring contained 450 green peas and 1523 yellow peas.
Based on those results, estimate theprobability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected?
Theprobability of getting a green pea is approximately

A multichoice test in which each question has four choices, only one of which is correct. Assume that nine questions are answered by guessing randomly. What is theprobability of getting exactly three correct answers.

Please see the attached file.
Objectives
? Group statements into blocks
? Compare integers, doubles, strings, and objects
? Program conditions using Boolean operators and variables
The work should include the following:
? CombinationLock.java
? CombinationLockTest.java
Details
Implement a combinationlock cla

1. About 8% of the populaiton are hopelessly romantic. If two people are randomly selected, what is theprobability both are hopelessly romantic? What is theprobability at least one is hopelessly romantic?
2. A password consist of 1 letter and followed by a six diget number.
How many passwords are possible if not

Solve each problem. Show work.
6.3 From a group of 11 racers, how many top 3 finishes are possible?
6.4 In how many ways can a subcommittee of 4 be chosen from a senate committee of 6 Democrats and 8 Republicans if...
a. All members are eligible?
b. The subcommittee must consist of 3 Democrats and 1 Republican?
6.5

1. You attempt a 50 item (n = 50) true-and-false exam. You did not study for the material and your attempt to answer any item is a guess, with a 50% chance that you will get any item correct. You need a score of 30 or better to pass the exam.
A. If you are truly guessing your way through the exam, what is theprobability

Construct a table giving the binomial distribution for each of the following:
a) Theprobability of guessing correctly on a 10-question true-false test.
b) Theprobability of guessing correctly on a 20- question multiple choice test, with 4 alternatives per question.
c) For a 100-question true-false test, the normal approx

1. For a normal distribution, find the z-score values that separate
A. The middle 60% of the distribution from the 40% in the tails.
B. The middle 70% of the distribution from the 30% in the tails.
C. The middle 80% of the distribution from the 20% in the tails.
D. The middle 90% of the distribution from the 10% in the tail

A person claims that she is a fortune teller. Specifically, she claims that she can predict tha direction of the change (up or down) in the Dow Jones Industrial Average for the next 10 days (such as U, U, D, U, D, U, U, D, D, D). (You can assume that she makes all 10 predications right now, although that won't affect your answ