SOLUTION: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. One die shows a 5, a

Here are all 36 ways the dice can land, and I have colored red the 4
ways which have one die showing a 5, and the other showing a number 
less than 3.
 
 
⚀⚀   ⚀⚁   ⚀⚂   ⚀⚃   ⚀⚄  ⚀⚅

⚁⚀   ⚁⚁   ⚁⚂   ⚁⚃   ⚁⚄  ⚁⚅

⚂⚀   ⚂⚁   ⚂⚂   ⚂⚃   ⚂⚄  ⚂⚅

⚃⚀   ⚃⚁   ⚃⚂   ⚃⚃   ⚃⚄  ⚃⚅

⚄⚀   ⚄⚁   ⚄⚂   ⚄⚃   ⚄⚄  ⚄⚅

⚅⚀   ⚅⚁   ⚅⚂   ⚅⚃   ⚅⚄  ⚅⚅

Therefore the probability is 4 out of 36, so put 4 over 36,
getting  and when you reduce it you get  and that is 
the probability.  That means that if you roll the dice many 
times, then on the average you'll get one of those rolls 
colored red about 1 time out of 9.

Answer:  

Edwin