Question

Each of three friends flips a coin 82 times. The results for each friend are shown in the tables. Find the relative frequency for the event ​"heads​" for each friend. If the friends combine their results to get 121 heads and 125 ​tails, what is the relative frequency for the event ​"heads​"? Use pencil and paper. Suppose each friend flips a coin 820 times. Is there a value you would expect the relative frequency for the event ​"heads​" to be close​ to?
Friend 1
Outcome
Frequency
   Heads
51
   Tails
31
Friend 2
Outcome
Frequency
   Heads
36
   Tails
46
Friend 3
Outcome
Frequency
   Heads
34
   Tails
48
Question content area bottom
Part 1
The relative frequency for the event ​"heads​" for Friend 1 is
  
0.62.
​(Type an integer or a decimal rounded to the nearest hundredth as​ needed.)
Part 2
The relative frequency for the event ​"heads​" for Friend 2 is
  
0.44.
​(Type an integer or a decimal rounded to the nearest hundredth as​ needed.)
Part 3
The relative frequency for the event ​"heads​" for Friend 3 is
  
enter your response here.
​(Type an integer or a decimal rounded to the nearest hundredth as​ needed.)

Answer 1

Part 3: Friend 3: 34/82 = 0.414634... → 0.41 (to the nearest hundredth).

Combined: 121 heads out of 121+125 = 246 flips → 121/246 = 0.49187... → 0.49 (to the nearest hundredth).

If each friend flips 820 times (many trials), the relative frequency for heads should be close to 0.5 (by the law of large numbers).