A penny is tossed. We observe whether it lands heads up or tails up. Suppose the penny is a fair coin; that is, the probability of heads is one-half and the probability of tails is one-half. What does this mean? A) if I flip the coin many, many times, the proportion of heads will be approximately 1/2, and this proportion will tend to

get closer and closer to 1/2 as the number of tosses increases.

B) regardless of the number of flips, half will be heads and half tails.

C) every occurrence of a head must be balanced by a tail in one of the next two or three tosses.

D) all of the above.

Question

Mathematics

Yahir Roach

28 February, 01:07

A penny is tossed. We observe whether it lands heads up or tails up. Suppose the penny is a fair coin; that is, the probability of heads is one-half and the probability of tails is one-half. What does this mean? A) if I flip the coin many, many times, the proportion of heads will be approximately 1/2, and this proportion will tend to

get closer and closer to 1/2 as the number of tosses increases.

B) regardless of the number of flips, half will be heads and half tails.

C) every occurrence of a head must be balanced by a tail in one of the next two or three tosses.

D) all of the above.

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Answers (1)

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Charlotte Snow · Answer 1

So we conclude that the answer is under (B).

Step-by-step explanation:

We know that the penny is a fair coin; that is, the probability of heads is one-half and the probability of tails is one-half.

So when we throw a coin we have an equal chance of getting either a head or a tail.

So we conclude that the answer is under (B).

B) regardless of the number of flips, half will be heads and half tails.