If I have two coins and I have the ability to land heads 60% of the time
What is the probability that I will land one heads and then one tails (40%)
probability of landing two heads would be 30% and two tails would be 20%, but what about one heads and one tails?
If you have two fair coins there is a 50% chance of the first one landing heads and a 50% chance it is tails.If I have two coins and I have the ability to land heads 60% of the time
If it tails we ignore it but if it's heads we toss the second coin which is the same as the first so there is a 50% chance of getting tails.
Therefore we multiply the first 50% by the second 50% to get 25%.
I should note this is for heads then tails.
Ok, lets make things easier by excluding the fact that there are two coins, lets just make it one.
In one case the coin lands on heads 50% of the time
For heads to land twice the probability would be 25%
For tails to land twice it would also be 25%
But for one of each the probability would be 50%
Now lets change the situation to make heads land 60% of the time
probability of landing heads twice would be 30%
probability of landing tails twice would be 20%
Now, what is the probability of landing one heads and one tails?