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Dealt - Finite Math - Quiz, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Main points of this past exam are: Dealt, Probability, Sum, Dealt a Flush, Same Suit, Rolled, Probability

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-02
§3.1 4.4 Test #2 score
Name:
25 July 2001
1. Two dice are rolled. Find the probability that the sum of the dice is 9 or larger. Explain.
(11 points)
2. Find the probability of being dealt a flush (all cards in the same suit) in a five-card hand.
Explain. (11 points)
3. If three dice are rolled, find the probability that at least one of the dice is a six. Explain.
(11 points)
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MA 110-

Test

score

Name:

25 July 2001

  1. Two dice are rolled. Find the probability that the sum of the dice is 9 or larger. Explain. (11 points)
  2. Find the probability of being dealt a flush (all cards in the same suit) in a five-card hand. Explain. (11 points)
  3. If three dice are rolled, find the probability that at least one of the dice is a six. Explain. (11 points)

MA 110 Test 2 page 2

  1. Player A selects a card from a standard 52-card deck. If the card is a 10 or below (Ace counts low), Player A wins $10 from Player B. If Player A selects a Jack, Queen, or King, Player A pays Player B $30. Find the expected value of the game for Player A. (11 points)
  2. A die is rolled, then another die is rolled. Let A denote the event that the sum of the dice is 6. Let B denote the event that the second die is a 5. Are events A and B independent? Are they mutually exclusive? Explain. (11 points)
  3. In a survey of 200 men and 300 women, we find that 175 of the men like to watch football and 25 do not, whereas, 160 of the women like to watch football and 140 do not. Find the probability that a randomly selected person in the survey likes to watch football. Then find the probability that a person is a man, given that the person likes to watch football. (11 points)