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
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
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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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