If these two spinners are spun,
what is the probability that the sum of the numbers the arrows land on is a multiple
To find this probability, we’ll
need to consider spinning the first spinner event one and spinning the second
spinner event two, making this a compound event. If we want to know the probability
that the sum of the spinners is a multiple of five, we need the multiple of five
outcomes over the total outcomes. There are a few methods we could
use. We could create a tree diagram for
spinner one and spinner two. However, because we need to sum the
results of spinner one and spinner two, a table is probably a better choice.
In the first row and the first
column, we would add if spinner one landed on one and spinner two landed on two,
this sum would be three. And then, we’ll consider as spinner
one landed on one and spinner two landed on four. This sum would be five. We fill in the rest of our table
with the correct sums. In the table, we have all possible
outcomes. And we can circle the ones that are
multiples of five.
We’ve identified five of the
results that are multiples of five out of the 21 possibilities. The probability that the sum of the
spinners is a multiple of five is five over 21. The fraction can’t be reduced any
further, so five over 21 is the final answer.