On a spinner, #P(3) = 2/5# and the #P(4) = 3/8#, what is the probability of getting 3 or 4?

1 Answer

#2/5+3/8=16/40+15/40=31/40#

Explanation:

Let's think about a regular, fair die for a second. There are 6 sides and so the probability of rolling a 1 is #1/6#. The probability of rolling a 2 is also #1/6#. The probability of rolling a 1 or a 2, therefore, is the probabilities of each one occurring added to the other:

#1/6+1/6=2/6=1/3#

And so with the spinner, we do the same thing - we add the probabilities together:

#2/5+3/8=16/40+15/40=31/40#