Ise probability trees to help you answer questions 19 and 20. Round your answers

Question

Ise probability trees to help you answer questions 19 and 20. Round your answers to three ecimal places. 1. John is at a cookout where the cooler is stocked with 17 bottles of root beer and 10 bottles of cola. He grabs two bottles out of the cooler, one after the other, at random. If the first bottle is a cola, what is the probability that the second bottle is also a cola? b. What is the probability that the two bottles match (i.e., they're either both root a. beers or both colas)? John would like to offer a choice of beverage to his friend - what's the probability he grabbed two different sodas? c.

Explanation / Answer

Here' the answer to the question with full concept. Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer

1. There are 17 bottles of root beer and 10 bottles of cola.

a. P(2nd is also cola given 1st is cola)
= Selecting cola out of 9 bottles of cola / total bottles available
= (9C1)/(9+17 C1)
= 9/26

b. P(2 bottles match)
= P(both either root beer or both colas)
= (17/27)*(16/26) + (10/27)*(9/26)
=0.5157

c. P(different sodas )
= P(1st root beer , 2nd cola) + P(1st cola , 2nd root beer)
= (17/27)*(10/26) + (10/27)*(17/26)
= .4843

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.