6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal arts majors. a.) What is the probability that a student selected at random will be a science or liberal arts major? b.) What is the probability that a student selected at random will be an engineering or science major? c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal arts majors are female. What is the probability that a student selected at random is an engineering major or a female?

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.

28. A box contains 5 green, 3 blue, and 2 yellow marbles. Two marbles are chosen at random, without replacement. What is the probability that: a) the second one chosen is blue given the first is yellow? b) the second one chosen is green given the first is green? c) both are the same color? d) a green or a yellow is chosen? e) no yellow is chosen?

A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)