6. Consider the following sample space, consisting of colors as outcomes: Define events A, B, and C as follows, then write out the events requested in set notation: a) An B b) Be c) BUC d) (AUC) = {Red, Orange, Yellow, Green, Blue, Indigo, Violet} e) An B A = {Red, Orange, Yellow} B = {Red, Yellow, Blue} C = {Green, Blue}

A personal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the Japanese chips, 2% are defective, whereas 3% of the American chips are defective. Set up a tree diagram. a) Find the probability that a chip is not defective. b) Find the probability that a chip is defective and came from Japan. c) Given that a chip is defective what is the probability it came from America.

State the condition or the reason why the two events are dependent. Determine whether the following events are dependent or independent. a) Event M: surfing the internet and event N: connecting to the internet b) Event K: obtaining a face card from the pack and event L: obtaining a head in tossing a coin. c) Event T: getting a 6 on rolling the dice and event P: getting a 5 on rolling the dice.

1,000 people were sampled to pick a card which contained a color and symbol. 350 people in total picked a card that was blue. 223 people in total picked a card with a star. 161 people chose card that was both blue and had a star on it. a) what is the probability that a person randomly chose a blue card? b) what is the probability that a person randomly chose a card that was both blue and had a star on it? c) what is the probability that a person randomly chose a card that was either blue or had a star on it?