Question

select the correct answer. a fair, unbiased coin was flipped 10 times, giving the results shown in the table, where t = tails and h = heads.

flip	1	2	3	4	5	6	7	8	9	10
result	t	t	t	h	t	t	t	h	t	t

what is the difference between the theoretical and experimental probabilities of getting heads?
a. 0.1
b. 0.5
c. 0.3
d. 0.0

Explanation:

Step1: Calculate theoretical probability

For a fair coin, the theoretical probability of getting heads $P_{theo}=\frac{1}{2}=0.5$.

Step2: Calculate experimental probability

Count the number of heads in 10 flips. There are 2 heads. So the experimental probability $P_{exp}=\frac{2}{10} = 0.2$.

Step3: Find the difference

The difference $d=P_{theo}-P_{exp}=0.5 - 0.2=0.3$.

Answer:

C. 0.3