Question

What is the probability of getting tails when all the 6 coins are tossed at once?

Answer 1

If you think of the tosses as a sequence 6 flips, there are 2^6 total possibilities.

There is only 1 way to get all heads, so the probability of getting all heads is 1/2^6=1/64.

To get the probability of getting at least one head, this is the opposite of the probability of getting no heads - i.e. all tails.

The probability of getting all tails is 1/2^6=1/64.

To get the probability of getting at least one head, we subtract this from 1 to get:

1−1/2^6=1−1/64=63/64.