Asked by Jackson
There is a deck of 12 cards numbered 1 through 12. One card is drawn at random from the
deck, look at it and then put it back in the deck. A total of two cards are drawn in this way.
Define the following events:
• A : get an even numbered card and an odd numbered card regardless of their order.
• B : The first card you draw is even numbered.
• C : The sum of the cards is even.
• D : The sum of the cards is 18.
a) Are events A and B independent? Justify your answer.
b) Are events A and C independent? Justify your answer.
c) Compute P(D).
d) Compute P(D|C).
Please help!! I need to turn this in tomorrow and I'm completely lost!
deck, look at it and then put it back in the deck. A total of two cards are drawn in this way.
Define the following events:
• A : get an even numbered card and an odd numbered card regardless of their order.
• B : The first card you draw is even numbered.
• C : The sum of the cards is even.
• D : The sum of the cards is 18.
a) Are events A and B independent? Justify your answer.
b) Are events A and C independent? Justify your answer.
c) Compute P(D).
d) Compute P(D|C).
Please help!! I need to turn this in tomorrow and I'm completely lost!
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