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

`(2)/(14)=(1)/(7)`

Since this is an example of probability without replacement,

When you're selecting a lime, the probability becomes

`(4)/(13)`

Now the probability of selecting a lemon-lime would be

`(4)/(13)*(1)/(7)=(4)/(91)=0.043956*100=4.39\text{ \%}\approx4\text{ \%}`

The answer to this question is 4%