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Four cards numbered 2, 4, 6, 9 are placed in the first bad. In the second...

Four cards numbered 2, 4, 6, 9 are placed in the first bad. In the second bag are 3 cards numbered 2, 3, 6. One card is drawn at random from each bag. Draw a tree diagram representing this experiment.

Use the information from problem 9 (above) for this problem. With the help of the tree diagram, calculate the probability that the two numbers obtained:

(i) have different values.
(ii) are both even.
(iii) are both prime.
(iv) have a sum greater than 5.
(v) have a product greater than 16.

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