Question

5. J and K are independent events. P(J | K) = 0.7. Find P(J).

6. Suppose that you have 10 cards. 6 are green and 4 are yellow. The 6 green cards are numbered 1, 2, 3, 4, 5, and 6. The 4 yellow cards are numbered 1, 2, 3, and 4. The cards are well shuffled. You randomly draw one card.

• G = card drawn is green

• Y = card drawn is yellow

• E = card drawn is even-numbered

• Part (a)
  List the sample space. (Type your answer using letter/number combinations separated by commas. Example: G1, Y1, ...)

{ }

• 
  Part (b)
  Enter the probability as a fraction.
  P(G) =

• Part (c)
  Enter the probability as a fraction.
  P(G | E) =

• Part (d)
  Enter the probability as a fraction.
  P(G AND E) =

• Part (e)
  Enter the probability as a fraction.
  P(G OR E) =

• Part (f)
  Are G and E mutually exclusive?
  Yes or No    

Answer 1

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