FST 10/25/16 Name: ______

Probability Rules HW

  1. A test has 10 true/false problems. If you know 3 answers for sure and guess on the other 7, what is the probability that you will get them all correct?
  1. If the quiz is 10 questions of multiple choice, 4 possible choices for each question, how many ways could you answer the quiz if you answer all of the questions?
  1. In how many ways can the batting order of a 10 person softball team be set?
  1. A spinner has 6 congruent regions, labeled 1-6.
  1. If you spin the spinner 10 times, how many possible outcomes are there for the 10 spins?
  1. If the spinner is fair, what is the probability of 10 “3”s in a row?
  1. The probability of the failure of an airline engine during taxi is 0.0005 and failures of different engines are independent events.
  1. What is the probability that all three engines on one plane would fail?
  1. What is the probability that at least one engine would fail?
  1. At the Lock and Dam up North where the Bald Eagles will congregate, there is a 0.21 probability of seeing an Eagle and a 0.17 probability of seeing a Hawk. Longtime observers say there is a 0.02 probability of seeing both on the same day. Are the actions of seeing an Eagle and seeing a Hawk independent events? Give numerical justification for your decision.

Ace / Best
Excellent / 60 / 24
Acceptable / 272 / 20
Unacceptable / 16 / 8
  1. Fiat buys parts from two suppliers, Ace and Best. Here is the distribution for the quality of parts from each supplier.
  1. What is the probability of a randomly selected part coming from Ace?
  1. What is the probability of a randomly selected part is considered excellent?
  1. What is the probability of a randomly selected part coming from Ace and is excellent?
  1. The probability that Carol wins the election for Student Government presidency is 0.4 and the probability that Carl wins is 0.5.
  1. What is the probability that Carol or Carl will win?
  1. What is the probability that Carl will not win?
  1. What is the probability that neither Carol or Carl will win?
  1. The manager of a little league baseball team contacted the local meteorological office regarding the likelihood of the weather for the opening day of the season, and was given the following table of probabilities.

Wind Speed / Less than 10 / 10-30 / More Than 30
Sunny / 0.3 / 0.16 / 0.08
Partly Cloudy / 0.14 / 0.08 / 0.06
Overcast / 0.09 / 0.06 / 0.03
  1. What is the probability that opening day will be sunny?
  1. What is the probability that the wind speed will be 30 mph or less?
  1. What is the probability that the weather will be overcast or the wind speed will begreater than 30 mph?
  1. What is the probability that the weather will not be overcast and the wind speed will be less than10 mph?
  1. A whole number from 1 to 300 is chosen at random. Find the probability of each event.
  1. The number is divisible by 3.
  1. The number is divisible by 4.
  1. The number is divisible by 3 or 4.