The probability that at least $15$ cents worth of coins come up heads is
P(H)=1/16
This is further explained below.
Generally, We are doing a simultaneous toss of four coins. How likely is it that every coin will land with the head side facing up?
It has been established by everyone who has participated so far that the solution is 116, which can be written as
(1/2)4=1/16.
On the other hand, a person who is just starting out can benefit from another method to see things.
I'm going to go ahead and make the assumption that each coin is balanced and that each side has an equal chance of facing up.
Each coin has the potential to exist in either of two states (heads or tails). Therefore, there are
2^4 = 16 different permutations (states) that the four coins may be in together as a group.
Only one of these possible permutations results in all heads. This results in the correct value of 1/16.
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