Birthday Probability Concepts

The video explains the Birthday Paradox, a probability theory that shows a high chance of shared birthdays in a small group. It details the math behind the paradox and its surprising results. The concept is applied to cryptography, illustrating how it can lead to hash collisions in encryption algorithms. The video concludes with real-world implications of the paradox.

What is the probability that two people in a group of 23 share the same birthday?

• 6%

• 50%

• 23%

• 97%

What assumption is NOT made in the Birthday Paradox?

• Specific birth months

• Random birthdays

• No leap years

• No twins

How do we calculate the probability that no two people share a birthday?

• By calculating the probability that they do share a birthday

• By assuming all have the same birthday

• By multiplying probabilities of each not sharing a birthday

• By dividing the number of people by 365

What is the probability of NOT having a birthday match with 23 people?

• 49.3%

• 50.7%

• 97%

• 6%

What is the probability of a birthday match in a group of 50 people?

• 99.97%

• 97%

• 6%

• 50%

What is a veridical paradox?

• A paradox that cannot be proven

• A paradox that is always true

• A paradox that seems absurd but is true

• A paradox that is false

What is the probability of NOT having a birthday overlap with 100 people?

• 97%

• 50%

• 99.99997%

• 0.00003%

What is the significance of 253 babies in the Birthday Paradox?

• It is the number needed for a 6% chance of a match

• It is the number needed for a 50% chance of a specific birthday match

• It is the number needed for a 100% chance of a match

• It is the number needed for a 97% chance of a match

What is the probability of a birthday match with 75 people?

• 97%

• 99.97%

• 6%

• 50%

What is the probability of a birthday match with 23 people?

• 6%

• 97%

• 99.97%

• 50%