Question
Suppose you roll a red number cube and a yellow number cube.
What is the probability of rolling any matching pair of numbers? (Hint: Add the probability of each of the six matches.)
What is the probability of rolling any matching pair of numbers? (Hint: Add the probability of each of the six matches.)
Answers
MathMate
The cube has 6 faces, so 6 outcomes.
When two different dice are thrown, there are a total of 6*6=36 outcomes.
You can make a table of the 36 outcomes and find out how many of them are the same (6 out of 36).
Alternatively, you can think of the red cube is thrown first with <i>any</i> of the 6 possible outcomes. The yellow cube that is thrown (1 millionth of a second later) has a 1/6 probability of matching the red.
When two different dice are thrown, there are a total of 6*6=36 outcomes.
You can make a table of the 36 outcomes and find out how many of them are the same (6 out of 36).
Alternatively, you can think of the red cube is thrown first with <i>any</i> of the 6 possible outcomes. The yellow cube that is thrown (1 millionth of a second later) has a 1/6 probability of matching the red.