Question

5. J and K are independent events. P(J | K) = 0.7. Find P(J). 6. Suppose...

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    

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