# What is the probability of drawing the queen of hearts given a red

August 30, 2017

Question
MAT 114

Quiz 7

Fall 2015

Name _______________________________________________________________ Section __________

Answer each of the following carefully and completely. Be sure to show any formulas used.

For #’s 1 – 10, refer to the following table:

FCA

FHA

FFA

Freshmen

10

13

8

Sophomores

16

6

19

Juniors

5

8

12

Seniors

11

11

4

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For #’s 11 – 20, use the following Venn diagram and the given information:

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For #’s 21 – 30, consider a standard deck of 52 playing cards.

21. What is the probability of drawing the queen of hearts given a red heart is drawn?

22. What is the probability of drawing the queen of hearts given a queen is drawn?

23. What is the probability of drawing 1 spade and 1 club given that both cards are black?

24. What is the probability of drawing a 2, 4, or 6 given that the card drawn is not a face card (treat aces as 1’s here)?

25. What is the probability of drawing out 1 diamond, 1 club, 1 heart, and 1 spade when 4 cards are drawn from the deck?

26. What is the probability of drawing out 1 diamond, 1 club, 1 heart, and 1 spade when given that 1 card already drawn is a diamond and another is a heart?

27. What is the probability of drawing out 1 diamond, 1 club, 1 heart, and 1 spade when given that two of the cards already drawn are the jack of clubs and the 3 of spades?

28. What is the probability of drawing 5 spades when given that the 5 cards drawn are black?

29. What is the probability of drawing 4 of the same kind when 3 of the cards already drawn are queens?

30. What is the probability of drawing a full house, when given 3 cards of a kind are already in hand?

For #’s 31 – 40, consider a randomly mixed bag of marbles of equal size and weight containing 5 red, 8 blue, 10 yellow, 7 green, and 4 orange marbles.

31. What is the probability of selecting all red marbles when 5 marbles are chosen at random?

32. What is the probability of selecting 3 red marbles given that the first and second marbles chosen are blue?

33. What is the probability of choosing 1 marble of each color when 5 marbles are chosen?

34. What is the probability of not choosing 1 marble of each color when 5 marbles are chosen?

35. What is the probability of choosing at least 2 green marbles when 5 marbles are selected?

36. What is the probability of choosing at least 2 green marbles when 5 marbles are selected given that the first marble selected is green?

37. What is the probability of selecting 5 yellow marbles, given that 2 of the marbles already selected are yellow?

38. What is the probability of choosing all the orange marbles when 5 marbles are selected?

39. What is the probability of not choosing any orange marbles given that 3 of the marbles already selected are not orange?

40. What is the probability of choosing 1 red marble, 2 blue marbles, and 1 yellow marble when selecting 5 given that the first marble selected is not green?

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