Rolling dice: answers.

The probability of an event is calculated by counting the number of possible ways of getting a particular outcome (such as rolling a 9 on the dice), and dividing by the total number of possibilities.  Probability is expressed as either a fraction or a decimal.  The probability of an event is always somewhere between 0 (impossible) and 1 (certain).

How many different possible outcomes are there when you roll two dice?  ___36____ (Rolling a one on the first die and a two on the second is a different outcome from rolling a two on the first and a one on the second–even though the sum of each is three. The result of each die is completely independent of the other.)

How many different ways can you roll a 9?  _____4_____ ( six and three; five and four; four and five;and three and six.)

So the probability of rolling a 9 is : ____4/36______  (express as a fraction)

What is the probability of each possible roll of two dice.

2: ____1/36  (one and one)                                                       

3: _____2/36  (two and one; one and two)                                                     

4: ____3/36  (two and two; one and three; three and one)                                                       

5: ____4/36 (one and four; two and three; three and two; four and one)                                                      

6: ____5/36 (one and five; two and four; three and three; four and two; five and one)                                        

7: ____6/36 (six and one; five and two; four and three; three and four; two and five; one and six)

8: ____5/36  (six and two; five and three; four and four; three and five; two and six)

9: ____4/36 (six and three; five and four; four and five; three and six)

10: ___3/36 (six and four; five and five; four and six)

11:____2/36  (six and five; five and six)

12: ____1/36  (six and six)

Back to the Random Mozart activity