Question

If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting an orange, drinking it, then selecting a lemon-lime for your friend? Write your answer as a percent rounded to the nearest whole number.43%3%4%

Answer 1

Hello

The total numbers of drinks in the cooler is

$6+2+2+4=14$

The probability of selecting an orange drink is

$\frac{2}{14}=\frac{1}{7}$

Since this is an example of probability without replacement,

When you're selecting a lime, the probability becomes

$\frac{4}{13}$

Now the probability of selecting a lemon-lime would be

$\frac{4}{13}\times\frac{1}{7}=\frac{4}{91}=0.043956\times100=4.39\text{ \%}\approx4\text{ \%}$

The answer to this question is 4%