Question

A coin is biased to display heads 75% of the time. If it is tossed 20 times, which of these is the most questionable simulation for this coin?
(T = Tails; H = Heads)
A. HHTHHHTHTHHHHHTTHHHT
B. HTTHHHTHTHHTHHTHHHHT
C. HTHHTTHTHTTHTTTHHTHT
D. THTHHTHTHHHHHTHHHHTH
E. THHHHTTTHHHHHHHHHTTH

Answer 1

Answer:

(C)

Step-by-step explanation:

The coin is biased to display heads 75% of the time, and it is tossed 20 times. So 75% of the 20 tosses = 0.75*20 = 15. Therefore, we would expect about 15 heads in the toss. Doesn't have to be exactly 15, but somewhat close to 15.

Answer (A) has 14 heads, and 6 tails. Which is reasonable.

Answer (B) has 13 heads, and 7 tails. Which is reasonable.

Answer (C) has 9 heads, and 11 tails. Which means that the coin is not biased toward the heads. So this answer is questionable.

Answer (D) has 14 heads, and 6 tails. Which is reasonable.

Answer (E) has 14 heads, and 6 tails. Which is reasonable.