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My Python solution with explanation:
import math # setup situation bag1 = ['r']*4 + ['b']*5 # 1 pick bag2 = ['r']*3 + ['b']*7 # 2 picks # b b r # initialize counting variables numerator = 0 denominator = 0 # collect event occurrences for X in bag1: # 1 pick from bag1 for Y1 in bag2: # 1 pick from bag2 bag2reduced = bag2.copy() # create a COPY of bag2 bag2reduced.remove(Y1) # remove already picked element from COPY of bag2 for Y2 in bag2reduced: # 1 pick from EDITED bag2 tup = (X, Y1, Y2) # event if all([tup.count('r') == 1, tup.count('b') == 2]): # conditions of interest numerator += 1 denominator += 1 gcd = math.gcd(numerator, denominator) numerator //= gcd denominator //= gcd print(f'{numerator}/{denominator}')
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Day 2: Basic Probability Puzzles #4
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My Python solution with explanation: