Probability

This week's lesson was on probability. For example, the probability of spinning a 10 in the game of life, the amount of green skittles in a bag, rolling a 6 on a die, flipping a coin, etc. Something I found really interesting was what is called a probability tree. It's a way of representing the different outcomes of two or more "events' (ex. flipping a coin than rolling a die) and writing it out to show the probability of each set. Going with the example of a coin and a die, you start with the two outcomes, or branches, of the first event, here it would be either heads or tails, each with a 1/2 probability of being flipped. From each of those braches, you branch out the outcomes of the rolle of the dice, in this case we're only using one die, so the heads would have six braches, 1,2,3,4,5 and 6, and the tails would as well. Each of those outcomes would have a 1/6 chance in occurring. To figure out the probability of lets say getting heads and rolling a 4, you would multiply the two probabilities together, 1/2 x 1/6 = 1/12.  The tree would look something like this: