Access Code Probability and Combinations

The video tutorial explains how to calculate probabilities using the fundamental counting principle. It covers scenarios with non-repeating, repeating, and restricted digits in access codes. The tutorial demonstrates how to compute the number of possible combinations and the probability of guessing an access code on the first try. It also explains scientific notation and converting probabilities to percentages.

What is the fundamental counting principle used for in this video?

• To calculate the number of possible outcomes in a scenario.

• To determine the average of a set of numbers.

• To find the median of a data set.

• To calculate the probability of an event occurring.

How many different access codes are possible if each digit can be used only once?

• 10,000

• 24,192

• 30,240

• 100,000

What is the probability of guessing the access code on the first try when digits cannot repeat?

• 1 in 10,000

• 1 in 24,192

• 1 in 30,240

• 1 in 100,000

When digits can be repeated, how many possible access codes are there?

• 10,000

• 100,000

• 30,240

• 24,192

What is the probability of guessing the access code on the first try when digits can repeat?

• 1 in 10,000

• 1 in 24,192

• 1 in 30,240

• 1 in 100,000

In the restricted scenario, how many numbers are available for the first digit?

• 8

• 9

• 10

• 7

How many possible access codes are there in the restricted scenario?

• 24,192

• 10,000

• 30,240

• 100,000

What is the probability of guessing the access code on the first try in the restricted scenario?

• 1 in 10,000

• 1 in 30,240

• 1 in 100,000

• 1 in 24,192

What does the 'e' in scientific notation represent?

• Equation

• Estimate

• Error

• Exponent

Why is it unlikely to guess an access code correctly?

• Because there are too many possible combinations.

• Because the digits are always the same.

• Because the code changes every minute.

• Because the code is always a palindrome.