Homework

 Two Dice Game I

For each dice game below (Game A and Game B) you are to:

·        decide if each game is fair or not and explain your answer (parts a) and b));

·        play Game A and Game B in pairs, but individually record and explain your results (parts c) and d)).

Game A:         Throw the two dice and add the top two numbers together. ·        Player 1 wins when the result is an odd number. ·        Player 2 wins when the result is an even number.

Sum = 6

a)         i)          Using the table below, who is more likely to win this game?  (Circle one)

                        (A)   Player 1     (B)   Player 2     (C)   Both players are equally likely.

            ii)         Explain your answer.

                       

 Player 2 would win because there are more even numbers on the table than there are odd numbers. There are  3, 5, 7, 9 and 11 which are odd numbers and then there are 2, 4, 6, 8, 10 and 12 which are even. So there is a more of a chance rolling even numbers.

Sum of two dice	2	3	4	5	6	7	8	9	10	11	12
Number of ways it can occur	1	2	3	4	5	6	5	4	3	2	1

Game B:         Throw the two dice and multiply the top two numbers together. ·        Player 1 wins when the result is an odd number. ·        Player 2 wins when the result is an even number.

Product = 8

b)         i)          Who is more likely to win this game?  (Circle one)

                        (A)   Player 1     (B)   Player 2     (C)   Both players are equally likely.

            ii)         Explain your answer.

                        Both players are equally likely to win because there is a fifty fifty chance of getting an odd or an even number when multiplying the top two numbers.

·      Pair up with someone else who has finished a) and b). ·      Get two dice and complete parts c) and d).

c)         i)          Play Game A 50 times and record your results in the table below.

Tally		Frequency
Player 1 wins	IIIII IIIII IIIII IIIII IIIII I	O.26
Player 2 wins	IIIII IIIII IIIII IIIII IIII	O.24

            ii)         Do your results suggest that Game A is fair?   Yes   /   No   (Circle one)

                        Explain your answer.

                    Yes because player 1 had 26 and player 2 had 24 which means both of the           players  almost got 25 each which is half of fifty. 

d)         i)          Play Game B 50 times and record your results in the table below.

Tally		Frequency
Player 1 wins	IIIII IIIII III	O.13
Player 2 wins	IIIII IIIII IIIII IIIII IIIII IIIII IIIII II	O.37

            ii)         Do your results suggest that Game B is fair?   Yes   /   No   (Circle one)

                        Explain your answer.

                        Game b is not fair because player 2 got more wins than player 1. Player 2 got 37 , player 1 got 13 so this proves that game b is not fair.