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)