Suppose we pick a random card from a deck of twelve cards, numbered 1 through 12. Consider the following events: E = we choose an even number = {2, 4, 6, 8, 10, 12} M = we choose a multiple of 3 = {3, 6,9, 12} I = we choose a number whose name includes an "N" = {1, 7, 9, 10, 11} Answer each of the following; give probabilities either as a single fraction or rounded to at least 4 decimal places. (a) Find P(NE) (b) Are the events E and N mutually exclusive? Briefly describe how you know. (c) Are the events E and M independent? Briefly describe how you know.

MATLAB: An Introduction with Applications
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Suppose we pick a random card from a deck of twelve cards, numbered 1 through 12. Consider the following events: E = we choose an even number = {2, 4, 6, 8, 10, 12} M = we choose a multiple of 3 = {3, 6,9, 12} I = we choose a number whose name includes an "N" = {1, 7, 9, 10, 11} Answer each of the following; give probabilities either as a single fraction or rounded to at least 4 decimal places. (a) Find P(NE) (b) Are the events E and N mutually exclusive? Briefly describe how you know. (c) Are the events E and M independent? Briefly describe how you know.
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