Your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is one half . He flips the coin 10 times and observes a head 4 times. He concludes that the probability of a head for this coin is four tenths equals0.40. Answer parts a and b below.
a. Your friend claims that the coin is not balanced, since the probability is not .50. What's wrong with your friend's claim?
b. If the probability of flipping a head is actually 1/2, what would you have to do to ensure that the cumulative proportion of heads falls very close to 1/2?

a. As the friend claim is wrong as he flipped the coin very less i.e 10 only which reflects the number of time he flipped the coins. And we know that the probability is based on an imagination that could have a long series with respect to indefinite trails i.e unlimited

b. Since your friend flipped very less i.e only 10 which is not sufficient to get the nearest estimate your friend should flipped many times so that he would able to come very close.