Combinatorics, Probability and Other Math

Question 1

What’s special about pairs of numbers on each side of a triangular series?

Answer 1

They add up to the same value ex: 1, 2, 3, 4, 5, 6, 7, 8 pairs will always add up to 9

Question 2

When adding pairs of numbers on each side of a triangular series, what is the value?

Answer 2

1 more than the series’ N ex: 1, 2, 3, 4, 5, 6, 7, 8; N is 8; value is always 9

Question 3

What’s the formula for calculating the sum of a triangular series

Answer 3

_sum = (n**2 + n)/2

Question 4

What does the modulo operator do? (ex 5 % 4)

Answer 4

Returns remainder from division 5 % 4 = 1 (4 goes in to 5 1 time with 1 remainder)

Question 5

10 % 4

Answer 5

2

Question 6

4 % 5

Answer 6

4

Question 7

What happens when the divisor is greater than the dividend in a modulo operation? (ex: 4 % 10)

Answer 7

The dividend is returned (4 % 10 = 4)

Question 8

How do you truncate towards zero when dividing negatives in Python3?

Answer 8

int(5/-20) = 0