Reference no: EM13539167

1. On an eight question true-false quiz, a student guesses each answer. What is the probability that he/she gets at least one of the answers correct? 

2. What are the odds against drawing a card from an ordinary deck of cards and getting a spade? 

3. Given eight students, three of which are females, if two students are selected at random, without replacement, what is the probability that both students are female? 

4. If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart? 

5. It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph? 

6. A coin is tossed 5 times.  Find the probability that all 5 tosses are tails.

7. A coin is tossed 5 times.  Find the probability that the 6th toss is a tail, given that the first 5 tosses were all tails.

8. How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row?

9. If a menu has a choice of 3 appetizers, 5 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes?

10. In a second grade class containing 12 girls and 10 boys, 2 students are selected at random to give out the math papers.  What is the probability that the second student chosen is a boy, given that the first one was a girl?