In a big cooler in the kitchen there are the following drinks: 14 bottles of soda, 10 cans of soda, 6 bottles of juice, and 7 cans of juice. Heather 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 Heather chooses is in a bottle or is a juice? Do not round intermediate computations, and round your answer to the nearest hundredth.2 points0.730.820.870.93
Question
In a big cooler in the kitchen there are the following drinks: 14 bottles of soda, 10 cans of soda, 6 bottles of juice, and 7 cans of juice. Heather 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 Heather chooses is in a bottle or is a juice? Do not round intermediate computations, and round your answer to the nearest hundredth.2 points0.730.820.870.93
Solution
To solve this problem, we first need to determine the total number of drinks in the cooler and the number of drinks that are either in a bottle or are a juice.
The total number of drinks in the cooler is 14 (bottles of soda) + 10 (cans of soda) + 6 (bottles of juice) + 7 (cans of juice) = 37 drinks.
The number of drinks that are either in a bottle or are a juice is 14 (bottles of soda) + 6 (bottles of juice) + 6 (bottles of juice) + 7 (cans of juice) = 33 drinks.
The probability that the drink Heather chooses is in a bottle or is a juice is therefore 33/37 = 0.8918918918918919.
Rounding to the nearest hundredth, the probability is approximately 0.89. So, the closest answer is 0.87.
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