SOLUTION: Suppose events A and B are independent and P(A)=0.6, P(B)=0.2. Find the probability that at least one of A and B occurs.

Algebra.Com
Question 214667: Suppose events A and B are independent and P(A)=0.6, P(B)=0.2. Find the probability that at least one of A and B occurs.

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Suppose events A and B are independent and P(A)=0.6, P(B)=0.2. Find the probability that at least one of A and B occurs.

Step 1. Since the events are independent, we can multiply, their probabilities.

Step 2. Therefore, P(A and B)=P(A)P(B) for independent events. As a result, the probability of A and B is (0.6)*(0.2)=0.12.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS

Events A and B are independent events. Find the indicated Probability. P (A) = 0.4 P... (answered by ikleyn)
This is the question: 2 events, A and B, are defined on a sample space S such that... (answered by robertb)
Events A & B are independent. Suppose Event A occurs with a probability 0.60 and Event B... (answered by ikleyn)
Events A and B are independent. Find the indicated Probability. P (A) = 0.39 P (B) =... (answered by math_tutor2020)
Suppose P(A) = 0.25 and P(B) =0.15.If A and B are independent events but not mutually... (answered by ikleyn)
Suppose that A and B are events for which P(A) = 0.2 and P(B) = 0.7 What is the... (answered by ikleyn)
Assume that P(A) = 0.7, P(B) = 0.8, and P(B and A) = 0.56. a) Find P(A|B) and P(B|A).... (answered by ikleyn,math_tutor2020)
The probability that an event A occurs is P(A) = 0.4. B is an event
independent of A... (answered by ikleyn)
events A AND B are such that P(A)= 0.03 and P(B)= 0.6.if events A and B are independent,... (answered by stanbon,nellyothman,Kamaldeenola)