In a big cooler in the kitchen there are the following drinks: 10 bottles of soda, 9 cans of soda, 11 bottles of juice, and 7 cans of juice. Isabel just came in from playing outside and is going to choose one of these drinks at random from the cooler. What is the probability that the drink Isabel chooses is in a bottle or is a soda?
Do not round intermediate computations, and round your answer to the nearest hundredth.
Answer
Final Answer: The probability that the drink Isabel chooses is in a bottle or is a soda is approximately \(\boxed{0.81}\).
Step 1 ：In a big cooler in the kitchen there are the following drinks: 10 bottles of soda, 9 cans of soda, 11 bottles of juice, and 7 cans of juice. Isabel just came in from playing outside and is going to choose one of these drinks at random from the cooler. What is the probability that the drink Isabel chooses is in a bottle or is a soda?
Step 2 ：The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcomes are the drinks that are either in a bottle or are a soda. The total number of outcomes is the total number of drinks in the cooler.
Step 3 ：First, we need to calculate the total number of drinks in the cooler. This is the sum of the number of each type of drink. \(10 + 9 + 11 + 7 = 37\)
Step 4 ：Next, we need to calculate the number of favorable outcomes. This is the sum of the number of drinks that are either in a bottle or are a soda. \(10 + 11 + 9 = 30\)
Step 5 ：Finally, we divide the number of favorable outcomes by the total number of outcomes to get the probability. \(\frac{30}{37} = 0.8108108108108109\)
Step 6 ：Final Answer: The probability that the drink Isabel chooses is in a bottle or is a soda is approximately \(\boxed{0.81}\).
