Binomial Coefficient $([N],[k])$ in Python

The above cell imports scipy. special, which is a subpackage of scipy and contains method comb$(N,k),$ This method can be used to compute

binomial coefficient $([N],[k])=\frac{N*(N-1)cdotscdots*(N-k+1)}{k!}=\frac{N!}{k!(N-k)!},$ i$.$e$.$ the number of ways of choosing a subset of $k$ objects from a set of $N$ objects.

For example, if you need number of ways of choosing $3$ out of $7$ balls from a box, that number can be found by calling

scipy.special. comb$(7,3)$

Feel free to use scipy.special. comb$()$ in this assignment.

In addition, if you want to compute factorial $nn*(n-1)*(n-2)*dots*2*1,$ you can use

scipy.special. factorial$(n)$

Question $1$

A die is rolled $10$ times. Let $x$ be the number of times six appears in these $10$ rolls.

Part a$)$

What is the probability that xin$\{4,5\},$ i$.$e$.$ that six appears $4$ or $5$ times? Do NOT round your answer.

Write your answer as

ans $=$ some expression$>$

For example, if you think the answer is $\frac{1}{36}$ you should create variable ans as

ans $=\frac{1}{36}$

IMPORTANT: Just typing $1/36,$ or answer $=\frac{1}{36}$ is not acceptable. Also, do NOT put dot at the end $($this is a python code, not a sentence in

English$).$ Your answer will be graded automatically, and the test code expects you to create a Python variable called ans, and the code will test the value

of ans.

In $[1]$:

# your code here

raise NotImplementedError

In $[2]$: $"""\text{'}$Check whether the answer is numeric and from the interval $[0,1]-$ since it's a probability"""

assert isinstance$($ans$,$ float$)$

assert ans