Back to the Table of Contents

Statistical Probabilities and Distributions

Homework for Prob./Dist. Lesson 1

    Using the red and green die roll outcome table you generated in the lecture notes, calculate the probabilities for the following compound events.

  1. The total pips on the top faces of two standard dice is 11.

     

  2. The total pips on the top faces of two standard dice is at least 11.

     

  3. The total pips on the top faces of two standard dice is less than 11.

     

  4. The total pips on the top faces of two standard dice is at most 11.

     

  5. The total pips on the top faces of two standard dice is 7.

     

  6. The total pips on the top faces of two standard dice is between 3 and 7, inclusive.

     

  7. The total pips on the top faces of two standard dice is strictly between 3 and 7.

     

  8. The total pips on the top faces of two standard dice is between 2 and 12, inclusive.

     

  9. The total pips on the top faces of two standard dice is 1.

     

  10. The pips showing on the top faces of two standard dice are 5 and 2.

     

  11. The green die has 5 and the red die has 2.

     

  12. The green die has 5 or the red die has 2.

     

  13. Either the green or the red die has a 5 or a 2.

    Assume cards are drawn from a normal 52-card deck and ace is low.

  14. What term is used to descibe the act of randomly drawing any one card?

     

  15. What is the cardinality of (how big is) the sample space?

     

  16. How many outcomes are there where the event is "The card is less than 6''?

     

  17. Calculate P(the card is less than 6).

     

  18. Calculate P(the card is red).

     

  19. Calculate P(the card is a king).

     

  20. Calculate P(the card is between 2 and 6, inclusive).

     

  21. Calculate P(the card is the queen of spades).

     

  22. Calculate P(the card is a standard playing card).

     

  23. Calculate P(the card is a joker).

     

BACK TO LESSON ODD SOLUTIONS ACTIVITY NEXT LESSON