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Probability of Independent and Dependent Events Math Help Game Tips: - A 50 percent chance of rain tomorrow means the probability of rain tomorrow is 0.5 or 1/2. Probability can be represented by a percent, decimal or fraction. - In general for equally likely events, a probability P equals the number of favourable outcomes divided by the total number of possible outcomes. - If your name is entered 20 times in a random contest with 80 other names, then the chance of your name being the one name chosen from the 100 equally likely names is 20/100 = 0.2 = 20%. - If your name is entered 20 times in a random contest with 80 other names, then the chance of your name being chosen twice in a row is (20/100)(19/99) = 380/9900 = approx 3.8%. In this case, the two name draws are dependent events since the first favourable name drawn is missing for the second draw and affects the oucome of the second draw. - If your name is entered 20 times in a random contest with 80 other names, then the chance of your name being chosen twice in a row with name replacement is (20/100)(20/100) = 400/10000 = 4.0%. In this case, the two name draws are independent events since the first favourable name drawn is re-entered for the second draw. - In this game, if a chosen object is to be replaced, the question will mention the replacement. If replacement is not mentioned in a question, then assume the chosen object was not replaced. - In general, two events are independent when the outcome of the first does not affect the second. - In general when 2 events are independent, the probability of the 2 events occurring equals P = (the probability of the first event) multiplied by (the probability of the second event). - The score report automatically appears after you have made 10 choices. - The Math score is based on your choices only and does not count the fish hits. - The Game score is reduced by the number of fish hits. - The game can be played using the mouse by itself or using the keyboard by itself. - If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus. - Adjust the game's speed by pressing the + or - key repeatedly. - Refresh/Reload the webpage to start over again. |
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