Conditional Probability - Page 5
Questions
- You randomly choose a sock from a drawer of 8 black socks, 10 white socks, 12 blue socks, and 6 green socks. Then, without replacing the sock, you randomly choose a second sock. Find the probability that you choose 2 blue socks?
- The probability that a contractor will get a plumbing contract is 2/3 and the probability that he will get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that he will get both?
- What is the probability of rolling a fair die and not get an outcome less than 3?
- The probability of rain and hail during a storm is 16%. The probability of only rain is 78%. What is the probability of hail given that there is already rain?
- When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5?
- Michael has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt what is the probability that he chooses blue or red?
- A basket contains 8 pieces of fruit: 3 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
- You reach into a bag of coins and withdrew two coins. What is the probability you withdrew a nickel and then a dime if the bag held ten pennies, six nickels, and five dimes?
- The probability that a train leaves on time is 0.9. The probability that the train arrives on time and leaves on time is 0.36. What is the probability that the train arrives on time, given that it leaves on time?
- Lenny rolls two number cubes. What is the probability that the sum of the the numbers Lenny rolls is either 4 or 7?
- What was the name of Hitler's failed attempt to seize power in March 1923?
- Two power generating units A and B operate in parallel to supply the power requirement of a small city. If there is failure in the power generation what is the probability that the city will have its supply of full power?
- A coin is tossed, and a number cube is rolled. What is the probability of tossing heads, and rolling a 3 or a 5?
- Kellie flips a dime and then a quarter. How many results are possible?
- Suppose that for a group of consumers, the probability of eating is 0.75 and that the probability of drinking Coke Further suppose that the probability of eating pretzels and drinking Coke is 0.55. Are these two events independent? Why?
- On the roll of a pair of dice, what's the probability of rolling a 7 or 11?
- The probability of A hitting a target is #2/3# and that of B is #4/5#. They both fire at the target. What is the probability that at best one of them hits the target? What is the probability that only one of them will hit the target?
- What is the probability of rolling a 1 or a 4 on a number cube labeled 1 through 6?
- The coach of a summer soccer team has observed that his team has a 55% chance of winning games played on rainy days and a 60% chance of winning games on days its not raining. The weather forecast predicts there is a 75% chance of rain (see details)?
- There are 3 blue chips, 2 red chips, and 5 white chips in a bag. It costs $6 to draw a random chip from the bag. You win $10 for a blue, $5 for a red, and $1 for a white. What's the expected winnings per draw?