Decay and Probability Concepts

The video tutorial explains the concept of half-life, its mathematical representation, and the decay constant. It covers how to solve problems using these equations and discusses the statistical nature of decay. The tutorial concludes with practical applications of the decay constant.

What happens to the quantity of a substance after two half-lives?

• It is reduced to one-fourth of the original amount.

• It doubles.

• It is reduced to one-third of the original amount.

• It remains the same.

In the decay formula, what does the symbol 'lambda' represent?

• The final number of atoms.

• The initial number of atoms.

• The time elapsed.

• The decay constant.

How many atoms are expected to remain after 5 minutes if you start with 500 atoms with a half-life of 55 seconds?

• 11.41 atoms

• 250 atoms

• 55 atoms

• 500 atoms

What does the decay formula predict about the number of atoms remaining after a given time?

• The exact number of atoms remaining.

• The minimum number of atoms remaining.

• The average number of atoms remaining.

• The maximum number of atoms remaining.

What is the probability of getting exactly 250 heads when flipping a fair coin 500 times?

• 100%

• 25%

• 3.566%

• 50%