let a and b be two events with the following probabilities.\n• p(a) = 0.8\n• p(b) = 0.6\n• p(a and b) =…

let a and b be two events with the following probabilities.\n• p(a) = 0.8\n• p(b) = 0.6\n• p(a and b) = 0.24\nwhat is the conditional probability of b given a?\nwrite your answer as a decimal. do not round.

let a and b be two events with the following probabilities.\n• p(a) = 0.8\n• p(b) = 0.6\n• p(a and b) = 0.24\nwhat is the conditional probability of b given a?\nwrite your answer as a decimal. do not round.

Answer

Explanation:

Step1: Recall the formula for conditional probability

The formula for the conditional probability (P(B|A)=\frac{P(A\cap B)}{P(A)})

Step2: Substitute the given values into the formula

Given (P(A) = 0.8) and (P(A\cap B)=0.24), we substitute these into the formula: (P(B|A)=\frac{0.24}{0.8})

Step3: Calculate the value

(\frac{0.24}{0.8}=\frac{24}{80}=0.3)

Answer:

(0.3)