Each of the possible five outcomes of a random experiment

Chapter 2, Problem 58E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Each of the possible five outcomes of a random experiment is equally likely. The sample space is  Let  denote the event , and let  denote the event . Determine the following:
(a) \(P(A)\)
(b) \(P(B)\)
(c) \(P\left(A^{\prime}\right)\)
(d) \(P(A \cup B)\)
(e) \(P(A \cap B)\)

Equation transcription:

Text transcription:

P(A)

P(B)

P(A^{prime})

P(A cup B)

P(A cap B)

Questions & Answers

QUESTION:

Each of the possible five outcomes of a random experiment is equally likely. The sample space is  Let  denote the event , and let  denote the event . Determine the following:
(a) \(P(A)\)
(b) \(P(B)\)
(c) \(P\left(A^{\prime}\right)\)
(d) \(P(A \cup B)\)
(e) \(P(A \cap B)\)

Equation transcription:

Text transcription:

P(A)

P(B)

P(A^{prime})

P(A cup B)

P(A cap B)

ANSWER:

Solution:

Step 1 of 3:

Each of the possible five outcomes of a random experiment is equally likely.

The sample space is { a, b, c, d, e}.

Let A denote the event {a,b}, and let B denote the event {c,d,e}.

We have to find the following probabilities.

  1. P(A)
  2. P(B)
  3. P( 
  4. P(AB)
  5. P(AB)


Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back