The new &#x27;information&#x27; is the number of times you&#x27;re being woken up. Even though this information is not being told to you, you can implicitly use it by using the same strategy every time.<p>You should see it from the perspective of every awakening.<p>Imagine this. The experiment is repeated 10 times. On average the coin will have landed 5 times on heads, and 5 times on tails. This means that you&#x27;ll be woken up 5 times while the coin landed on heads. However, you&#x27;ll be woken up 500000005 (!) times while the coin landed on tails.<p>Knowing this, when you&#x27;re woken up only in 5&#x2F;500000010 of the scenarios the coin landed on heads.