probability and statistics

Question

An experiment consists of flipping a single coin followed by rolling a six-sided number cube (a die) What is the probability of getting a head followed by an even number

Answer 1

To expand on the previous answer. There are twelve total possibilities. There are also two ways to do this problem. The first is to draw a tree diagram and follow the pathways that involve flipping heads and getting even numbers. This would result in 3 paths out of 12, which would be a probability of 1/4. The other way is algebraically. The probability of flipping and getting heads is 1/2, and the probability of rolling an even number on a six sided die is 3/6 (or 1/2). When we do the probabilities of AND events, we multiply probabilities which yields the result 1/4, just like with the tree diagram. Adding probabilities together is reserved for when the situation uses the word OR.

Answer 2

There's 12 possibilities. Since each is cut in halh: 50:50.