Question

jordan flipped a coin 490 times. which of the following would be a good estimate of the number of times the coin landed on heads?
a. 440
b. 345
c. 230
d. 170

Explanation:

Step1: Recall coin flip probability

A fair coin has a 50% chance (or probability of $\frac{1}{2}$) of landing on heads. So, for \( n \) flips, the expected number of heads is \( n\times\frac{1}{2} \).

Step2: Calculate expected heads for 490 flips

For \( n = 490 \), the expected number of heads is \( 490\times\frac{1}{2}=245 \). Now, we look for the option closest to 245.

• Option A: 440 is far from 245.
• Option B: 345 is far from 245.
• Option C: 230 is close to 245.
• Option D: 170 is far from 245.

Answer:

C. 230