Question

You flip 6 coins. What is the probability of flipping 4 tails?

Answer 1

The probability of heads/tails of each flip is independent of each other.

Since a coin has 2 sides, H or T, then the probability of:

Heads is 1/2

Tails is 1/2

You flip 6 times.

You want 4 tails and rest 2 should be heads, of course! Thus, you want:

T T T T H H

Each of these individual probabilities are 1/2. So, we have;

$P(4T)\text{ = (1/2)\textasciicircum{}6=}\frac{1}{64}$