Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Four students each flipped a coin 50 times and recorded the results in the table.




Student
Heads
Tails


Mai Ka
31
19


Heather
15
35


Jose
21
29


Tyrone
20
30




Who had a relative frequency of 
(3)/(5) of flipping tails?

Four students each flipped a coin 5050 times and recorded the results in the table.\newline\begin{tabular}{|c|c|c|}\newline\hline Student & Heads & Tails \\\newline\hline Mai Ka & 3131 & 1919 \\\newline\hline Heather & 1515 & 3535 \\\newline\hline Jose & 2121 & 2929 \\\newline\hline Tyrone & 2020 & 3030 \\\newline\hline\newline\end{tabular}\newlineWho had a relative frequency of 35 \frac{3}{5} of flipping tails?

Full solution

Q. Four students each flipped a coin 5050 times and recorded the results in the table.\newline\begin{tabular}{|c|c|c|}\newline\hline Student & Heads & Tails \\\newline\hline Mai Ka & 3131 & 1919 \\\newline\hline Heather & 1515 & 3535 \\\newline\hline Jose & 2121 & 2929 \\\newline\hline Tyrone & 2020 & 3030 \\\newline\hline\newline\end{tabular}\newlineWho had a relative frequency of 35 \frac{3}{5} of flipping tails?
  1. Calculate Mai Ka's fraction: To find the relative frequency of flipping tails, we need to divide the number of tails by the total number of flips for each student.
  2. Calculate Heather's fraction: For Mai Ka, the calculation is 1919 tails out of 5050 flips, so 1950.\frac{19}{50}.
  3. Calculate Jose's fraction: For Heather, it's 3535 tails out of 5050 flips, so 3550.\frac{35}{50}.
  4. Calculate Tyrone's fraction: For Jose, it's 2929 tails out of 5050 flips, so 2950.\frac{29}{50}.
  5. Simplify fractions: For Tyrone, it's 3030 tails out of 5050 flips, so 3050\frac{30}{50}.
  6. Check Mai Ka's fraction: Now we simplify the fractions to see if any match 35.\frac{3}{5}.
  7. Check Heather's fraction: Mai Ka's fraction 1950\frac{19}{50} doesn't simplify to 35.\frac{3}{5}.
  8. Check Jose's fraction: Heather's fraction 3550\frac{35}{50} simplifies to 710\frac{7}{10}, which is not 35\frac{3}{5}.
  9. Check Tyrone's fraction: Jose's fraction 2950\frac{29}{50} doesn't simplify to 35\frac{3}{5}.
  10. Identify Tyrone's relative frequency: Tyrone's fraction 3050\frac{30}{50} simplifies to 35\frac{3}{5}. So Tyrone had a relative frequency of 35\frac{3}{5} of flipping tails.