a six sided die is rolled once. Find the probability of P(odd or at most 1)

Answer 1

So since the question asks odd OR at most 1, we have to combine the probabilities of both of those happening, then subtract any overlap that occurs.

At most 1, means the only number the die could roll is 1. So our set is [1]. Obviously, assuming this is a fair die, the probability of getting 1 is 1/6.

Odd means our set is [1,3,5]. The probability of rolling odd is 1/2.

BUT we need to consider overlap. Since both sets have the number 1 in them, we need to SUBTRACT the probability of 1 happening, because 1 can't happen twice on the same roll! So, we have 1/6 + 1/2 - 1/6.

Answer: 1/2