Each of three friends flips a coin 71 times. The results for each friend are shown in the tables. Find the Each of three friends flips a coin 71 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 101 heads and 112 ​tails, what is the relative frequency for the event ​"heads​"? Use pencil and paper. Suppose each friend flips a coin 710 times. Is there a value you would expect the relative frequency for the event ​"heads​" to be close​ to?

Each of three friends flips a coin 71 times The results for each friend are shown in the tables Find the Each of three friends flips a coin 71 times The results class=
Each of three friends flips a coin 71 times The results for each friend are shown in the tables Find the Each of three friends flips a coin 71 times The results class=

Respuesta :

For friend 1, the relative frequency is [tex]\frac{25}{71}\approx 0.352.[/tex]

For friend 2, it's [tex]\frac{53}{71}\approx 0.746,[/tex] and for friend 3, it's [tex]\frac{23}{71}\approx 0.319.[/tex]

Combining the data of all three would give a relative frequency of [tex]\frac{101}{213}\approx 0.474.[/tex]

If each friend were to flip a coin 710 times, assuming the coin to be a fair coin, we'd expect about half of the flips to be heads, so the relative frequency would be close to 0.5.

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