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a friend of yours plans to toss a fair coin 200 times. you watch the first 40 tosses, noticing that she got only 16 heads. but then you get bored and leave. if the coin is fair, how many heads do you expect her to have when she has finished the 200 tosses?



Answer :

You expect her to have 100 heads when she finishes the 200 tosses .probability of a fair coin should have an equal chance of landing on either heads or tails - so in 200 tosses, you would expect 100 of each.

To calculate the expected number of heads after 200 tosses, we need to know the probability of a coin landing on heads. The probability of a fair coin landing on heads is 50%, or 0.5. We can calculate the expected number of heads by multiplying the number of tosses (200) by the probability of heads (0.5). This gives us: 200 x 0.5 = 100. So, if the coin is fair, we expect her to have 100 heads when she has finished the 200 tosses.

Expected number of heads = Tosses x Probability of Heads

Expected number of heads = 200 x 0.5

Expected number of heads = 100

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