We are going to start with the two most important laws of probability The Law OR

Question

We are going to start with the two most important laws of probability The Law ORDN AND of When two events can't happen at the same time, we use "The Or Law" and we add the probabilities together. That's why there is a summation symbol ( ) in the photo for "The Or Law". When two or more things happen simultaneously, we use "The And Law" and we multiply their probabilities together. That's why there is a product symbol ( ) in the photo for "The And Law." Let's say you are on a game show, with several fabulous prizes: a 5-speed automatic washer-dryer, a deluxe self-cleaning toaster oven, a one-week all-expenses-paid tropical vacataion, or the consolation prize of 2-dozen pet rocks. Your chances of winning are as follows: Chances 14% 4% 1% 81% Prize Toaster Washer-dryer Vacation Pet Rocks What are the chances of winning an appliance (i.e. the toaster or the washer-dryer)? Report answer as a percent, not as a decimal. In other words, if it's 55%, report it as 55, not 0.55

Explanation / Answer

The chances of winnig a toaster = 14% = 0.14 = 14
The chances of winnig a washdryer = 4% = 0.04 = 4
The chances of winning a toaster and wash dryer = 0.14 X 0.04 = 0.056 = 5.6
The chances of winning a toaster or wash dryer = 0.14 + 0.04 = 0.18 = 18% = 18

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