
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 reentered 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. 
More SliderMath 