Four marbles are being drawn from an urn containing 8 blue and 2 red marbles. Let X be the number of blue marbles drawn. What this the probability mass function for X if the marbles are drawn with replacement.

Read four digits from the random numbers table. note the number of odd digits in the selected numbers. Repeat the experiment 25 times. Obtain the probability distribution of the odd digits. Find mean and variance of the distribution

A Box contains five salt shakers and three pepper shakers, each inside a plain cardboard container. If X is the number of containers opened by a person searching for a salt shaker, make a table for the probability distribution for X.

If one? three-digit number? (0 cannot be a left? digit) is chosen at random from all those that can be made from the following set of? digits, find the probability that the one chosen is not a multiple of 5 . (0,1,2,3,4,5,6)

Consider a game in which ten true dice are rolled. Find the probability of obtaining

a. Exactly one “ace”

b. At least one “ace”

c. At most 4 aces.

d. What is the total number of microstates?

Kyoko gave Misa a box of marbles for her birthday. If the average number of marbles in the brand that Kyoko gave to Misa is 75 with a standard deviation of 4, what is the probability that Misa received more than 77 marbles?

Use this constant dictionary as a global variable:

tile_dict = { 'A': 1, 'B': 3, 'C': 3, 'D': 2, 'E': 1, 'F': 4, 'G': 2, 'H': 4, 'I': 1, 'J': 8, 'K': 5, 'L': 1, 'M': 3, 'N': 1, 'O': 1, 'P': 3, 'Q': 10, 'R': 1, 'S': 1, 'T': 1, 'U': 1, 'V': 4, 'W': 4, 'X': 8, 'Y': 4, 'Z': 10 }

Implement function scrabblePoints(word) that returns the calculated points for the word based on the tile_dict above. The word parameter is a string. This function takes the string and evaluates the points based on each letter in the word (points per letter is set by the global dictionary). P or p is worth the same points. No points calculated for anything that is not A-Z or a-z.

[You may use upper() and isalpha() ONLY and no other method or built-in function]

Examples:

word = “PYTHON”

print(scrabblePoints(word))

returns:

14

word = “hello!!”

print(scrabblePoints(word))

returns:

8

word = “@#$=!!”

print(scrabblePoints(word))

returns:

0

Note: This function relies on scrabblePoints. Function you solved in Question 2.

Implement function declareWinner(player1Word = “skip”, player2Word = “skip”) that returns either “Player 1 Wins!”, “Player 2 Wins!”, “It’s a Tie”, “Player 1 Skipped Round”, “Player 2 Skipped Round”, “Both Players Skipped Round”. The player1Word and player2Word parameters are both type string. Assume input is always valid. This function should call on the function scrabblePoints to earn credit.

[No built-in function or method needed]

Examples:

player1Word = “PYTHON”

player2Word = “Pizza”

     print(declareWinner(player1Word, player2Word))

     returns:           

     Player 2 Wins!

              print(declareWinner(player1Word))

              returns:           

              Player 2 Skipped Round

I wrote this code and it produces a typeError, so please can you fix it?

import random

def first_to_a_word():

print("###### First to a Word ######")
print("Instructions:")
print("You will take turns choosing letters one at a time until a word is formed.")
print("After each letter is chosen you will have a chance to confirm whether or not a word has been formed.")
print("When a word is formed, the player who played the last letter wins!")
print("One of you has been chosen at random to initiate the game.")
print()
print("Note: Words must be longer than a single letter!")
print()

  
#inputs / randomNumGen
player1 = input("Enter player 1's name: ")
player2 = input("Enter player 2's name: ")
random_number = random.randint(0, 1)
  
#output function
def output_func(player1, player2, random_number):
if random_number == 0:
word = input(player1, 'please enter a character: ')
print(player1, 'input:', word)
else:
word = input(player2, 'please enter a character: ')
print(player2, 'input:', word)
  
return word
  
#initial variables
word_confirm = ''
counter = 0
word_array = []
  
#character input loop
while word_confirm != 'yes':
  
#function call
word = output_func(player1, player2, random_number)
  
#append
word_array.append(word)
  
#alternate players turns
if random_number == 0:
random_number = 1
else:
random_number = 0
  
#check for exit after >=3 letters formed
if counter >= 2:
print('You have formed the letters:') #three letters
word_confirm = input('Has the word been formed? (type "yes" or "no"): ')
word_confirm = word_confirm.lower()
  
counter += 1
  
complete_word = ''
i = 0
while i < len(word_array):
  
complete_word += word_array[i]
i += 1
  
if random_number == 1:
print(player1, 'Wins!')
print('The word was:', complete_word)
else:
print(player2, 'Wins!')
print('The word was:', complete_word)
  
  

first_to_a_word()