Question

Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron - a four‐sided shape with each side an equilateral triangle. Each side of the die contains one of the digits 1, 2, 3, or 4.


a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i.e. 1,1; 1,2; and so on.)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five?

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)


WILL GIVE BRAINLIEST! Please no jokes or links :)

Answer 1

Answer:

Step-by-step explanation:Very interesting problem. Be thankful it is not a six sided dice.Part A1  11  21  31  42  12  22  32  43  13  23  33  44  14  24  34 4Part BThere are 16 possible out comes1   44  12  33  24 out of the 16 outcomes are possibleP(5) = 4/16 = 0.25Part C The theoretical out come would be 4 times4/16 = 0.25On a hundred rolls, you would expect to get 25 sets of doubles.Step-by-step explanation: