let a and b be two events with the following probabilities.\n• p(a) = 0.6\n• p(b) = 0.5\n• p(a and b) =…

let a and b be two events with the following probabilities.\n• p(a) = 0.6\n• p(b) = 0.5\n• p(a and b) = 0.3\nwhat is p(a or b)?\nwrite your answer as a decimal. do not round.

let a and b be two events with the following probabilities.\n• p(a) = 0.6\n• p(b) = 0.5\n• p(a and b) = 0.3\nwhat is p(a or b)?\nwrite your answer as a decimal. do not round.

Answer

Explanation:

Step1: Recall the formula for (P(A\ or\ B))

The formula for the probability of the union of two events (A) and (B) is (P(A\cup B)=P(A)+P(B)-P(A\cap B))

Step2: Substitute the given values into the formula

Given (P(A) = 0.6), (P(B)=0.5), and (P(A\cap B) = 0.3) Substitute into the formula: (P(A\cup B)=0.6 + 0.5-0.3)

Step3: Calculate the result

(0.6+0.5 = 1.1), then (1.1-0.3=0.8)

Answer:

(0.8)