Ryan invented a game called "magic 5" in which you get points if you get the same result multiple times in a row. he put two identical balls, one black and one white, inside a dark bag. the player must draw one ball at a time and replace it. the outcomes gain or lose points according to the following table: same outcome as previous draw different outcome than previous draw first result -- -- second result +2 points -2 points third result +3 points -2 points fourth result +4 points -2 points fifth result +6 points -2 points what is the most probable outcome if you play this game? use a mathematical proof to explain the previous answer.

In this game called “Magic 5” there is no probable outcome when you play this game. The possibility of having the same outcome as the previous draw and having a different outcome than the previous draw is both 50%. Thinking that in the first draw you get a white ball, in the second draw you have a 50% chance to get a while ball again and a 50% chance of not. It’s the same as in the next draw; you’ll have 50% of it having the same outcome and 50% having a different one. And it goes and on, that’s why there is no probable outcome in this game rather the two choices has the same chance.

step-by-step explanation:

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answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.