Question

gilbey's frozen yogurt cones come in three flavors chocolate vanilla and strawberry with four choices of toppings sprinkles strawberries nuts in Granola you can choose a cone at random what is the probability expressed as a decimal that you get a cone with strawberry topping

Answer 1

The probability is 0.083

Here, we want to calculate the probability of selecting a cone with a strawberry topping

From the question, there are a possible 4 toppings type

Now, out of the three cone types, we are to select one

Also, out of the 4 toppings, we are to select the strawberry specifically

Thus, we have the probability as follows;

$\frac{^4C_1\text{ }\times^3C_1}{3!\text{ }\times\text{ 4!}}=\text{ }\frac{4\times3}{144}\text{ = }\frac{12}{144}\text{ = }\frac{1}{12}\text{ = 0.083}$

The factorial part below represents the total number of possible selections that we can have