1) Consider the following scenario:

Codeapiller miss:

https://www.youtube.com/watch?v=_5FvDE5R-sw

Codeapiller success 1:

https://www.youtube.com/watch?v=b69_T80M_U0

Coseapiller success 2:

https://www.youtube.com/watch?v=Unx9bWQcuww

Reflect on how this situation uses factorials and permutations. Calculate the probability of the code-a-pillar going through. Be clear as to how the situation uses both permutations and factorials.

The birthday problem theory:

https://www.youtube.com/watch?v=0TjRjqVNAYE&t=6s

A big idea of probability is that some probability problems are similar to others. The number of ways to arrange the letters in FACTOR is the same as the number of ways to arrange 6 people in a picture.This helps us understand how what we are learning can be applied to other real world contexts.

1) Think of anotherquestion that uses the same idea as the birthday problem but doesn't involve birthdays.

2) Consider how the following question is like the birthday problem: 10 people choose a random number between 1 and 100. What is the probability that at least 2 people choose the same number?