Answer :
12.8 percent
What are the basic principles of probability?
- The probability of an event can only be between 0 and 1 and can also be written as a percentage.
- The probability of the event is often written as
- If, the then event has a higher chance of occurring than an event.
- If, then events are equally likely to occur.
Let's suppose the number of heads is r which represents the head times and in this case r = 4
Assuming that the coin is unbiased, you have the probability of success ‘p’(where p is considered as success) [tex]\frac{1}{2}[/tex] and the probability of failure ‘q’ (where q is considered as failure).
The number of trials is represented by the ’n’ and here n = 12.
Now use the function for a binomial distribution:
P(R = r) = nCrprqn-r
P(R = 4) = (12C4)(1/2)4(1/2)12-4
= 495/4096
= [tex]\frac{495}{4096\\}[/tex]
= 12.0849609%
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