Question

A cooler at a picnic contains 100 cans of soda covered in ice. There are 25 cans of Cola, 30 cans of orange soda, 17 cans if ginger ale, and 28 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 orange soda root beer, or ginger ale

Answer 1

Answer:

The correct answer is $\frac{3}{4}$

Step-by-step explanation:

Let A be the required event that the soda selected is either a orange soda, root beer, or ginger ale.

Total number of cans of soda covered in ice in the cooler at a picnic is 100. Therefore total number of outcomes are 100.

Given there are 25 cans of Cola, 30 cans of orange soda, 17 cans if ginger ale, and 28 cans of root beer.

Possible outcomes that the can selected at random from the cooler is orange soda, root beer, or ginger ale is 75.

Thus the probability that the soda selected is orange soda, root beer, or ginger ale (event A happening) is given by the ratio of possible outcomes to total number of outcomes.

Thus P (A) = $\frac{75}{100}$

⇒ P (A) = $\frac{3}{4}$

Thus the required probability is given by $\frac{3}{4}$