Question

Use python to write.

There are 9-word cards, and the numbers on them are 1~9 respectively. Take a word card in order, and take three times respectively a, b, c.

Please use the for loop to list all the combinations and combine them into an array (numpy. array), the array The column size will be [P3 9, 3], and answer the probability of a > b > c.

Answer 1

To list all the combinations of taking three cards from a set of 9 cards and calculate the probability of a > b > c.

Step-by-step explanation:

To list all the combinations of taking three cards (a, b, and c) from a set of 9 cards (1 to 9), we can use the itertools.combinations function in Python. We can then combine the combinations into a numpy array using the numpy.array function. The resulting array will have a column size of [P3 9, 3].

import numpy as np
import itertools

# Creating a list of cards
cards = [1, 2, 3, 4, 5, 6, 7, 8, 9]

# Generating all combinations
combinations = np.array(list(itertools.combinations(cards, 3)))

print(combinations)

In order to answer the probability of a > b > c, we need to count the number of combinations where a > b > c and divide it by the total number of combinations. This can be done by looping through the combinations and checking the condition. Here's an example:

count = 0

for a, b, c in combinations:
if a > b > c:
count += 1

probability = count / len(combinations)
print(probability)