Homework Help is Here – Start Your Trial Now!
Math
Probability
If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B is: O 0.15 O 1.5 O 0.8 O 0.6

If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B is: O 0.15 O 1.5 O 0.8 O 0.6

A First Course in Probability (10th Edition)
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...
See similar textbooks
icon
Related questions
Question
### Probability Question #### Problem Statement: If \( A \) and \( B \) are any two events with \( P(A) = 0.3 \) and \( P(B|A) = 0.5 \), then the joint probability of \( A \) and \( B \) is: - \( \bigcirc \) 0.15 - \( \bigcirc \) 1.5 - \( \bigcirc \) 0.8 - \( \bigcirc \) 0.6 #### Explanation: To solve for the joint probability \( P(A \cap B) \), we use the formula for conditional probability: \[ P(A \cap B) = P(B|A) \times P(A) \] Given: \( P(A) = 0.3 \) and \( P(B|A) = 0.5 \) \[ P(A \cap B) = 0.5 \times 0.3 = 0.15 \] Thus, the correct answer is: - \( \bigcirc \) 0.15
Transcribed Image Text:### Probability Question #### Problem Statement: If \( A \) and \( B \) are any two events with \( P(A) = 0.3 \) and \( P(B|A) = 0.5 \), then the joint probability of \( A \) and \( B \) is: - \( \bigcirc \) 0.15 - \( \bigcirc \) 1.5 - \( \bigcirc \) 0.8 - \( \bigcirc \) 0.6 #### Explanation: To solve for the joint probability \( P(A \cap B) \), we use the formula for conditional probability: \[ P(A \cap B) = P(B|A) \times P(A) \] Given: \( P(A) = 0.3 \) and \( P(B|A) = 0.5 \) \[ P(A \cap B) = 0.5 \times 0.3 = 0.15 \] Thus, the correct answer is: - \( \bigcirc \) 0.15
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar 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
SEE MORE TEXTBOOKS