Module 02 Assignment - Problems

G180 Module 02 Assignment

Hint: For questions 1-3, make sure you are writing out the sample space to help come up with the probability.

1. A card is drawn at random out of a well-shuffled deck of 52 cards. Find the probability of the following events.

1. 1. Draw an Ace.

1. 1. Draw a red card

1. 1. Draw a face card (A "face" card is a jack, queen or king)

1. 1. Draw a two or a club (Hint: Write out the sample space)

1. You are rolling two fair six-sided dice. Find the probability of each of the following events.
   

   1. Both of the dice are a 5.

1. 1. At least one of the dice is a 2.
      

   2. The sum of the two dice is nine.

1. 1. The sum of the two dice is less than 4.

1. You decide to toss an honest coin in the air three times in a row. Find the probability of each of the following events.

1. 1. The tosses result in at least two heads.

1. 1. The tosses result in exactly one tail.

1. 1. The tosses result in at most one head.

1. 1. All three tosses are different.

1. Find the odds of each of the following events.
   

   1. An event with a probability of 5/9

1. 1. An event with a probability of 0.3