16) What is the probability of getting a sum 9 from two throws of a dice?
Question
- What is the probability of getting a sum 9 from two throws of a dice?
Solution
To find the probability of getting a sum of 9 from two throws of a dice, we first need to determine all the possible outcomes when two dice are thrown.
Step 1: Determine all possible outcomes A die has 6 faces. So, when two dice are thrown, the total number of possible outcomes is 6*6 = 36.
Step 2: Determine favorable outcomes The favorable outcomes for getting a sum of 9 are: (3,6), (4,5), (5,4), (6,3). So, there are 4 favorable outcomes.
Step 3: Calculate the probability The probability of an event is given by the ratio of the number of favorable outcomes to the number of possible outcomes.
So, the probability of getting a sum of 9 from two throws of a dice is 4/36 = 1/9.
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