How do you solve Compound events ?

Question

anonymous · Answer

compound events are probabilities of two or more things happening at once. For example, what is the probability that you forgot to do your homework and there will be a pop quiz in class? for another example In Clarajean's closet are four pairs of pants (black, white, grey, and brown), and five different shirts (blue, white, red, yellow, and purple). How many different outfits can she make with these options?

And, if she was to blindly pick a pair of pants and a shirt, what is the probability that the pants and shirt will be the same color?

If we start with the shirts, then add the pants, our tree diagram should look something like this:

shirt and pants

Only one branch has matching pants and shirt (white pants and white shirt). So, the probability of blindly picking pants and shirts of the same color is:

P = 1/20 = 5%