Question

A cooler contains ten bottles of sports drinks: four lemon-lime flavored, three orange flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler and then mix up the bottles. The first time, you get lemon-lime. The second time and third times you get fruit-punch. What is the probability that this event happens?

Answer 1

The probability of this event happening is 0.036.

Step-by-step explanation:

The probability that this event happens can be determined by multiplying the probabilities of each individual event. The first event of getting a lemon-lime drink has a probability of 4/10 because there are four lemon-lime drinks out of a total of ten bottles. The second and third events of getting a fruit-punch drink have probabilities of 3/10 each, since there are three fruit-punch drinks out of ten bottles each time.

To find the probability of all three events happening, we multiply these probabilities together:

Probability = (4/10) * (3/10) * (3/10)

= 36/1000

= 0.036