If the two spinners below are spun,what is the probability that the numbers will add to less than 6

Question

First spinner has 3 sections

Second spinner has 4 sections 

Help! I have no clue how to answer this.

All the answers are in fractions

Answer 1

First, we need to assume that the sections of EACH spinner are equally likely.

 

The easiest way to see the answer to this problem is to write a 2 way table with 1, 2, 3, 3 across the top

and 1, 2, 3 down the side.  Make an addition table which has 12 entries from 2 to 7.

 

You can then easily see that 9 of the 12 entries are are less than 6...an that is your answer: 9/12 = 3/4 = .75