Theoretical Probability (Pink Band) - 19/37 Their are 95 pink rubber bands (numerator) and when adding 95+90 = 185 (denominator) to get the theoretical probability you would get 95/185 which when simplified by the factor of 5 would be the same thing as 19/37.
Theoretical Probability (Brown Band) - 18/37
Their are 90 brown rubber bands (numerator) and we already know that are denominator will be 185 so we would get 90/185. This fraction is also divisible by a factor of 5 so when simplified you would get 18/37.
Experimental Probability (Pink/Brown Band) - 12/23 and 11/23
Pink Band: Their is a 36 (numerator) out of (36+33) 69 (denominator) chance of pulling a pink band so it would be written as 36/69 which is divisible by 3 and when simplified is written as 12/23.
Brown Band: Their is a 33 (numerator) out of our already known denominator 69 chance of pulling a brown band. When written as a fraction this would be 33/69 which is also divisible by 3 and when simplified 11/23.
We can conclude with this data that their is a slightly higher chance of pulling a pink rubber band compared to the experimental probability of picking a brown rubber band because we know that 12/23 > 11/23.
