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04 Probability Mar8
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04 Probability Mar8

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  • 1. In a family of three children, what is the probability that 2 of the  children will be girls?
  • 2. Find the theoretical probability of flipping three pennies and getting  at least 1 heads.
  • 3. The cafeteria special for lunch offers a choice between two main  courses (hamburgers or chicken burgers) and three different drinks.  The "meal deal" allows you to pick one of each. How many different  "meal deals" are they offering? What if they offer to throw in a choice of fries, spicy fries or plain chips;  how many "meal deals" are they offering now?
  • 4. How many four­digit even numbers are there if the same digit cannot  be used twice?
  • 5. (a) The last part of your telephone number contains four digits.  How many such four­digit numbers are there? b) How many such four­digit numbers are there if the same  digit cannot be used twice? c) How many four­digit numbers begin with a 2 ,4 or 0 if the  same digit cannot be used twice?
  • 6. Suppose that, when you go to school from home, you like to take as  great a variety of routes as possible, and that you are equally likely to  take any possible route. You will walk only east or south. (a) How many ways can you go to  the post office? (b) How many ways can you go to  school? (c) What is the probability that you will walk past the post office on  your way to school?
  • 7. How many ways can the word RIVER be found in the array of letters shown  to the right if you start from the top R and move diagonally down to the  bottom R? R I I V V V E E R
  • 8. How many ways can the word  "MATHEMATICS" appear in  the following array if you must  spell the word in proper  order?
  • 9. The diagram below shows a game of chance where a ball is dropped as  indicated, and eventually comes to rest in one of the four locations  labelled A, B, C, or D. The ball is equally likely to go left or right each time  it strikes a triangle. We want to determine the theoretical probability of a  ball landing in any one of these four locations. To do this, we need to  know the total number of paths the ball can take, and also the number of  paths to each location.

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