3. Three playing cards (a Jack, a Queen and a King) are placed in a box. A card is drawn from the box, its value is recorded, and then the card is put back into the box. The process is then repeated a second time. a) Draw a tree diagram for all possible outcomes of the two draws. (2 make) b) Determine the number of outcomes in which a king is the first card drawn from the box. (1 c) Find the probability that the first and second cards drawn are all the same. (1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Please answer the following Data Managment question. Please make sure the answers are correct and please write the full answer on paper. I will make sure to thumbs up multiple times on different acounts thanks a ton again.

3. Three playing cards (a Jack, a Queen and a King) are placed in a box. A card is drawn from the box, its value
is recorded, and then the card is put back into the box. The process is then repeated a second time.
a) Draw a tree diagram for all possible outcomes of the two draws. (2 make)
b) Determine the number of outcomes in which a king is the first card drawn from the box. (1
c) Find the probability that the first and second cards drawn are all the same. (1
Transcribed Image Text:3. Three playing cards (a Jack, a Queen and a King) are placed in a box. A card is drawn from the box, its value is recorded, and then the card is put back into the box. The process is then repeated a second time. a) Draw a tree diagram for all possible outcomes of the two draws. (2 make) b) Determine the number of outcomes in which a king is the first card drawn from the box. (1 c) Find the probability that the first and second cards drawn are all the same. (1
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