Complete data analysis and explaination of code in python

Q1. There is a laundry bin with 20% blue socks. You randomly draw 10. What is the probability that 2 are blue?
To solve this problem, we can use the binomial probability formula, which calculates the probability of k successes in n independent trials, where each trial has the same probability of success.
The formula is:
where:
(n choose k) is the binomial coefficient, which can be calculated as
p is the probability of success (in this case, the probability of drawing a blue sock)
n is the total number of trials (in this case, the number of socks drawn)
k is the number of successes we're interested in (in this case, 2 blue socks)
Using this formula, we can calculate the probability of drawing exactly 2 blue socks out of 10 as:
Plugging in the values, we get:
Therefore, the probability of drawing exactly 2 blue socks out of 10 is approximately 0.302, or...