Question

6.) Calculate the probability of winning the following lottery games. Express your answer as a fraction or ratio i.e. “ 1/20” or “1 out of 20” rather than decimal “0.05” or percentage “5%”. a.) Ten ping-pong balls labeled 0 through 9 will be drawn from a basket without replacement and lain out in a row. You fill in four boxes guessing which and in what order the last four ping- pong balls will be drawn. If you guess right you win the Big Prize. Chance of winning Big Prize: b.) In the above scenario if you get the last four ping-pong balls correct you win the Lesser Prize. Chance of winning Lesser Prize: c.) You also win a Minimal Prize if you guessed the last four ping-pong balls but didn't get them in the correct order. Chance of winning Minimal Prize: _

Answer 1

१ ) 10 digits 2 As there are (0-9), so possible number of combinations of last 4 digits is a 10! loxgx887 61 Soyo Case there would only be 1 possible when you get the right combination (some the actual one), so probeebility of getting so 1 5040 one in It would be sume as previous because the balls are arranged lain as they drauen, so required probability - 1 the out in a row are 5040 of order of balls don't matter, bossible number of last 4 balls - (40) 10x9*8*7 210 Thus, probability to get berect set 24 1 210