The probability of selecting lime soda and orange soda is [tex]\frac{9}{95}[/tex] .
What is probability?
Probability is a measure of happening or non happening of the outcomes of the random experiment.
Probability formula
P(E) = Total number favorable of outcomes/ Total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of lemon lime drinks = 6
Total number of cola drinks = 8
Total number of orange drinks = 6
⇒ Total number of drinks = 6 + 8 + 6 = 20
Now
Probability of picking lemon lime drink
= [tex]\frac{6}{20}[/tex]
= [tex]\frac{3}{10}[/tex]
After picking the lemon lime soda only 19 drinks are left.
So, the probability of picking orange soda = [tex]\frac{6}{19}[/tex]
Therefore,
The probability of selecting lime soda and orange soda
= [tex](\frac{3}{10}) (\frac{6}{19} )[/tex]
= [tex]\frac{18}{190}[/tex]
=[tex]\frac{9}{95}[/tex]
Hence, the probability of selecting lime soda and orange soda is [tex]\frac{9}{95}[/tex] .
Find out more information about probability here:
https://brainly.com/question/11234923
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