### 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

Solution-: Given: P(A)=0.3, P(B/A)=0.5 We want to find P(A and B)=?

Answered: If A and B are any two events with P(A)…

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...

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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