Question

A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla frosting, 3 cupcakes with chocolate frosting, and 2 cupcakes with pink frosting. He draws 1 cupcake and then draws out another cupcake without replacing the first one. Find the probability of picking 1 cupcake with chocolate frosting followed by another cupcake with chocolate frosting, and show the equation used, and solve it.

Answer 1

To pull our the first chocolate, it would be a probability of 1/2.

To pull the second chocolate out, it would be a probability of 2/5.

Hope that helps, you just use ratios, the first cupcake needs to be chocolate, and there are 3 chocolate cupcakes out of the 6. Make that into a fraction 3/6, and simplify into 1/2.

The same goes for the second cupcake.