The expected number of heads in 160 tosses of an unbiased coin is ___.
The number of possible outcomes is two, that is either head or tail.
If the coin is unbiased, how many heads do you expect to show up, and how many tails?
80
To find the expected number of heads in 160 tosses of an unbiased coin, we can use the concept of expected value.
The expected value is calculated by multiplying each possible outcome by its respective probability, and then summing up all these values.
In this case, since the coin is unbiased, it means that the probability of getting a head or a tail is equal (0.5). Therefore, the probability of getting a head in each toss is 0.5, and the probability of getting a tail is also 0.5.
Now we can calculate the expected value:
Expected value = (Number of tosses) x (Probability of getting a head)
Expected value = 160 x 0.5
Expected value = 80
Therefore, the expected number of heads in 160 tosses of an unbiased coin is 80.