Question

5 select the correct answer. a coin is biased such that it theoretically results in 2 heads in every 3 coin flips, on average. which sequence of coin flips (h for heads and t for tails) is consistent with the theoretical model? a. flip 1 2 3 4 5 6 7 8 9 10 11 12 result h h t t t t h t h t t t b. flip 1 2 3 4 5 6 7 8 9 10 11 12 result h h h t t h t t h h h h c. flip 1 2 3 4 5 6 7 8 9 10 11 12 result t h t h t t t h t t h h d. flip 1 2 3 4 5 6 7 8 9 10 11 12 result h t t t h t t t t h t t

Explanation:

Step1: Calculate number of heads for Option A

Count heads in Option A. There are 4 heads in 12 flips. The proportion is $\frac{4}{12}=\frac{1}{3}$.

Step2: Calculate number of heads for Option B

Count heads in Option B. There are 8 heads in 12 flips. The proportion is $\frac{8}{12}=\frac{2}{3}$.

Step3: Calculate number of heads for Option C

Count heads in Option C. There are 5 heads in 12 flips. The proportion is $\frac{5}{12}$.

Step4: Calculate number of heads for Option D

Count heads in Option D. There are 3 heads in 12 flips. The proportion is $\frac{3}{12}=\frac{1}{4}$.

Answer:

B. Option B