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Probability Homework Problems, Assignments of Mathematics

University of Illinois - Urbana-ChampaignMathematics

A set of probability homework problems, including calculating the probability of specific card hands, guessing answers on a test, and checking for contaminated meat. The problems cover concepts such as combinations, permutations, and conditional probability.

Typology: Assignments

Pre 2010

Uploaded on 03/10/2009

koofers-user-bse
koofers-user-bse 🇺🇸

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Math 181, Homework 7
1. If a six-card hand is dealt from a deck of cards, what is the probability that the hand
will be four aces and two kings?
2. There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select
three puppies at random, what is the probability that they will all be the same gender?
3. If you guess at random on each question of a true-false test with 10 questions, what is
the probability that you will get
(a) all of the answers correct?
(b) exactly 5 answers correct?
(c) at least 1 answer correct?
4. A four-card hand is dealt from a standard 52-card deck. What is the probability the
hand contains one card of each suit?
pf2

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Math 181, Homework 7

  1. If a six-card hand is dealt from a deck of cards, what is the probability that the hand will be four aces and two kings?
  2. There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select three puppies at random, what is the probability that they will all be the same gender?
  3. If you guess at random on each question of a true-false test with 10 questions, what is the probability that you will get (a) all of the answers correct?

(b) exactly 5 answers correct?

(c) at least 1 answer correct?

  1. A four-card hand is dealt from a standard 52-card deck. What is the probability the hand contains one card of each suit?
  1. There are 24 popsicles in a cooler. Ten are grape, six are orange, and eight are cherry. If you grab three popsicles from the cooler, what is the probability that they will (a) all be grape?

(b) all be the same flavor?

(c) be one of each flavor?

  1. In the game of blackjack, a player can win the hand by receiving a blackjack, which consists of an ace and a 10-point card in a two-card hand. (A 10-point card is a king, queen, jack or 10). (a) Find the probability of getting a blackjack when dealt two cards from a standard deck.

(b) Find the probability of getting a blackjack when dealt two cards from two standard decks that have been shuffled together.

  1. A meat processor has packed 50 packages of meat, 5 of which contain contaminated meat. If an inspector checks only 4 of the 50 packages, what is the probability that she will not check any of the contaminated packages?