Question: A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of cola, 22 cans…

A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of cola, 22 cans of orange soda, 28 cans of ginger ale, and 16 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 ginger ale, cola, or orange soda.

The probability that the can selected is a ginger ale, cola, or orange soda is (Simplify your answer. Type a fraction.)

Solution

To solve the problem, let’s first identify the total number of cans and the number of cans that are either ginger ale, cola, or orange soda. Total cans = 100 Cans of cola = 34 Cans of orange soda = 22 Cans of ginger ale = 28 Add the number of cans of cola, orange soda, and ginger ale: \[ 34 + 22 + 28 = 84 \] Now, calculate the probability that the can selected is ginger ale, cola, or orange soda: \[ \frac{84}{100} \] Simplify the fraction: \[ \frac{84}{100} = \frac{21}{25} \] Thus, the probability that the soda selected is ginger ale, cola, or orange soda is \(\frac{21}{25}\).