Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25).

Calculate prob of sequence vgg when three letters picked without replacement from {v: 9, g: 5}.
15/182
The total number of ways to pick 3 letters from the given set is given by the combination formula, which is C(14,3) = 364. There are 9 v's and 5 g's in the sequence. So the number of possible cases to make sequence "vgg" would be 9x5x4=180. The final answer is 180/364 which can be simplified as 15/182..