A license plate has two letters followed by three digits. What is the probability that the numbers on the license plate are all odd numbers?

1 Answer
Jul 4, 2016

Forget about the letters. This kind of info at a test is only there to confuse you.

Explanation:

Every digit has a probability of being odd #P("odd")=5/10=1/2#

Since we demand 1st AND 2nd AND 3rd to be odd, we may MULTIPLY the probabbilities:

#P("all odd")=1/2xx1/2xx1/2=1/8#

Remember:
#ANDharrxx#
#XORharr+#