Probability with Combinations and Permutations Answers

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

Two unique letters are chosen at random from the alphabet.What is the approximate probability that the first letter chosen is A?

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team.Which expression represents the probability that both students chosen are sophomores?