There are 8 tiles in a box, each numbered with a different digit from 1 to 8. What is the probability of selecting 3 odd tiles and 1 even tile when four tiles are drawn one at a time with replacement?

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Answer 1 · 2018-01-11T08:23:31

#1/4#

There are a few ways to do this. I'll show one way:

There are #2^4=16# different ways we can draw tiles (looking only at Odd/Even). Let's list them out and separate out those with 3 Os and 1E:

OOOO

OOOE
OOEO
OEOO
EOOO

OOEE
OEOE
OEEO
EOOE
EOEO
EEOO
OEEE
EOEE
EEOE
EEEO
EEEE

#4/16=1/4#