Question

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Each of three friends flips a coin 70 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 116 heads and 94 ​tails, what is the relative frequency for the event ​"heads​"? Use pencil and paper. Suppose each friend flips a coin 700 times. Is there a value you would expect the relative frequency for the event ​"​heads" to be close​ to?

Answer 1

Find the relative frequency for the event ​"heads​" for each friend:

Friend 1: 0.59 (41/70)

Friend 2: 0.7 (49/70)

Friend 3: 0.37 (26/70)

If the friends combine their results to get 116 heads and 94 ​tails, what is the relative frequency for the event ​"heads​"?

0.55 (116/210)

Suppose each friend flips a coin 700 times. Is there a value you would expect the relative frequency for the event ​"​heads" to be close​ to?

For Friend 1, basing it off the 0.59 frequency from earlier, I would expect the heads to be around 413.

Friend 2, 490

Friend 3, 259