The probability that a U.S. resident has visited Canada is 0.18, the probalility that a U.S. resident has visited Mexico is 0.09, and the probability that a U.S. resident has visited both countries is 0.04. Consider the events "has visited Canada" and "has visited Mexico", as applied to a randomly-chosen U.S. resident. Are these two events independent? Are they disjoint? What can you say about these events? O They are independent but not disjoint o They are disjoint but not independent o They are both independent and disjoint o They are neither independent nor disjoint

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
**Text for Educational Website**

**Probability Problem: Visiting Canada and Mexico**

The probability that a U.S. resident has visited Canada is 0.18. The probability that a U.S. resident has visited Mexico is 0.09. Furthermore, the probability that a U.S. resident has visited both countries is 0.04. 

Consider the events "has visited Canada" and "has visited Mexico," applied to a randomly-chosen U.S. resident. Are these two events independent? Are they disjoint? What can you say about these events?

**Options:**

- They are independent but not disjoint.
- They are disjoint but not independent.
- They are both independent and disjoint.
- They are neither independent nor disjoint.
Transcribed Image Text:**Text for Educational Website** **Probability Problem: Visiting Canada and Mexico** The probability that a U.S. resident has visited Canada is 0.18. The probability that a U.S. resident has visited Mexico is 0.09. Furthermore, the probability that a U.S. resident has visited both countries is 0.04. Consider the events "has visited Canada" and "has visited Mexico," applied to a randomly-chosen U.S. resident. Are these two events independent? Are they disjoint? What can you say about these events? **Options:** - They are independent but not disjoint. - They are disjoint but not independent. - They are both independent and disjoint. - They are neither independent nor disjoint.
**Question:**

The probability of team A beating team B is \(\frac{3}{5}\). What is the probability that team A will win two consecutive games from team B?

1. \(\frac{9}{25}\)
2. \(\frac{4}{25}\)
3. \(\frac{6}{25}\)
4. \(\frac{16}{25}\)

**Explanation:**

To find the probability of team A winning two consecutive games, you multiply the probability of winning one game by itself:

\[
\left(\frac{3}{5}\right) \times \left(\frac{3}{5}\right) = \frac{9}{25}
\]

Therefore, the correct answer is \(\frac{9}{25}\).
Transcribed Image Text:**Question:** The probability of team A beating team B is \(\frac{3}{5}\). What is the probability that team A will win two consecutive games from team B? 1. \(\frac{9}{25}\) 2. \(\frac{4}{25}\) 3. \(\frac{6}{25}\) 4. \(\frac{16}{25}\) **Explanation:** To find the probability of team A winning two consecutive games, you multiply the probability of winning one game by itself: \[ \left(\frac{3}{5}\right) \times \left(\frac{3}{5}\right) = \frac{9}{25} \] Therefore, the correct answer is \(\frac{9}{25}\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON