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What is the probability of flipping a coin 12 times and getting heads 4 times?
Round your answer to the nearest tenth of a percent.

Sagot :

Answer:

its 12.08percent

Step-by-step explanation:

poona2339

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%

learn more about Probability here https://brainly.com/question/14210034

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