Question

a cooler at a picnic contains 100 cans of soda covered by ice. there are 14 cans of cola, 37 cans of orange soda, 26 cans of ginger ale, and 23 cans of root beer. the cans are all the same size and shape. if one can is selected at random from the cooler, determine the probability that the soda selected is root beer, cola, or orange soda. the probability that the can selected is a root beer, cola, or orange soda is (simplify your answer. type a fraction.)

Explanation:

Step1: Sum favorable cans

14 (cola) + 37 (orange soda) + 23 (root beer) = 74

Step2: Calculate probability

Probability = $\frac{\text{Favorable cans}}{\text{Total cans}} = \frac{74}{100}$

Step3: Simplify fraction

Divide numerator and denominator by 2: $\frac{37}{50}$

Answer:

$\frac{37}{50}$