A cooler full of sodas has 12 lemon-lime drinks and 18 gingerales. If one drink is selected at random and then a second drink is selected at random, what are the chances that both sodas will be gingerales?
Well, let me consult my soda crystal ball. *Shakes imaginary crystal ball* Ah, I see! There are a total of 30 sodas in the cooler. So, the probability of picking a gingerales on the first try is 18 out of 30.
Now, if we assume that a gingerales was picked on the first try, there are now 29 sodas left, including 17 gingerales. So, the probability of picking a gingerales again is 17 out of 29.
To find the chances of both sodas being gingerales, we multiply the probabilities. *Calculating* Voilà! The probability is approximately 0.2468, or about 24.68%.
Just remember, statistics and sodas can be a little fizzy at times, so take it with a grain of sugar!
To find the chances of selecting two gingerales in a row, we can use probability.
First, let's find the probability of selecting a gingerales on the first try. The total number of drinks in the cooler is 12 lemon-lime + 18 gingerales = 30. So, the probability of selecting a gingerales on the first try is 18/30.
Now, after selecting a gingerales, there are 17 gingerales left in the cooler (since we already selected one). The total number of drinks remaining is 30 - 1 = 29.
Therefore, the probability of selecting a second gingerales is 17/29.
To find the overall probability, we can multiply the two probabilities since each event is independent:
P(both sodas are gingerales) = (18/30) * (17/29) = 306/870 ≈ 0.352
So, the chances that both sodas will be gingerales is approximately 0.352 or 35.2%.