Probability of Compound Events - Page 5

Questions
  • IF Sn=1+1/2+1/2^2+.......+1/(2^n-1),find the least value of n for which 2-Sn<1/100?
  • How do you combine #2p ^ { 3} - 4p ^ { 4} + 5p ^ { 2} + 5p + 2p ^ { 2} - p ^ { 3}#?
  • The Muffin Shop chain of bakeries sold 745,305 muffins last year. How do you write this number in expanded form?
  • If #A# and #B# are two events such that #P(A)ne0# and #P(B|A)=1#, then?
  • If #A# and #B# are two events such that #P(A)+P(B)-P(AandB)=P(A)# , then ?
  • About #7/90# of the U.S. population lives in Florida. Another #3/70# lives in Ohio. About what fraction more of the U.S. population lives in Florida than in Ohio?
  • From a pack of 9 cards numbered 1-9, three cards are drawn at random and laid on a table from left to right. What is the probability that the digits are drawn in descending order?
  • 148 people are going to stay in cabins. A cabin can handle up to 28 people. How many cabins will be needed if we fill cabins in order (28 people go into cabin 1, then people are placed in cabin 2, etc.)?
  • How do you evaluate #12(a+7)#?
  • Twelve students sit around a circular table. Let three of the students be #A#, #B# and #C#. Find the probability that #A# does not sit next to either #B# or #C#?
  • How reduce this at simplest form using de Morgan's? #f=bar((barx+bary)+bar(barx+bary))#
  • What is the degree of #3s^3+3s#? What kind of polynomial is it?
  • New York County had a population of about #1.54 \times 10^6# people in 2000. Erie had a population of about #9.5 \times 10^5# people. What was the combined population of the two counties?
  • How much more is 44 x 2 than 11 x 4?
  • Lana says there are #4^3# eggs in a dozen. Patrick says there are #3^4# eggs in a dozen. Is either person correct? Why?
  • A colony of insects is sprayed with insecticide. The colony contains 1,60O insects. If 1% of the colony is resistant to the insecticide, how many insects will survive after being sprayed?
  • A rumour was spread by 4 man at 9:00am. In a period of 15 minutes,each of the 4 man told the rumour to another 3. For the following 15 minutes,each of the man told the rumour to another 3 who have yet to hear it. At 11:00am, how many man had heard it?
  • Monyne flips three coins. What is the probability that the first, second and third coin will all land the same way (either all heads or all tails)?
  • John and Alan have a collection of x baseball cards. John has #x/4# cards. What fraction of the cards does Alan have?
  • How many committees of 9 people can be chosen from a group of 12 people?