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Sneaky Sam tosses a coin $10$ times and the coin lands on “heads” on $7$ of those tosses.

Suspicious Sally thinks that Sam is using a weighted coin.

What can Legal Lindsay conclude based on the Law of Large Numbers?

A

The coin will almost certainly land on “tails” on the next toss.

B

The next $7$ tosses of the coin should result in “tails”.

C

There is a $70\%$ chance that this coin will land on “heads” on any given toss.

D

We have good evidence to suggest that this coin is weighted in some way. In other words, it is not a fair coin. Sam really is sneaky!

E

This may simply be coincidence. If the coin is fair, we would expect about $50\%$ of the tosses to result in “heads”, but only if the coin is tossed many, many times. $10$ tosses is not that many!

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