text: if this die is rolled once, what is the probability that the outcome will be a 2 or a 4? a die is loaded so that it is equally likely to roll a 1 or a 2.  rolling a 3 or a 4 is also equally likely, and each of these is twice as likely as rolling a 1.  finally, rolling a 5 or a 6 is equally likely and each of these is 3 times as likely as rolling a 3.  a.  1/6 b.  1/4 c.  5/12 d.  7/18 e.  none of the others think of the die as containing one 1, one 2, two 3s, two 4s, six 5s, and six 6s.  this way, the probability of rolling a 3 is 2/18 = 1/9 and the probability of rolling a 5 is 6/18 = 1/3, which is three times as likely as 1/9.  now, since there is only one 2 present on the die, the chance of rolling a two is 1/18. since there are two 4s on the die, the chance of rolling a 4 is 2/18. add these two probabilities together to get: 1/18 + 2/18 = 3/18 = 1/6  the answer is (a) 1/6  good luck, i hope this helps!