Solution:

The expected number of heads in 100 tosses of an unbiased coin can be calculated using the following formula:

Expected number of heads = (Total number of tosses) x (Probability of getting a head)

Here, the total number of tosses is 100 and the probability of getting a head is 0.5 because the coin is unbiased.

Expected number of heads = 100 x 0.5 = 50

Therefore, the correct answer is option 'B', which states that the expected number of heads in 100 tosses of an unbiased coin is 50.

Explanation:

To understand why the expected number of heads in 100 tosses of an unbiased coin is 50, we need to understand the concept of probability and expected value.

Probability is the measure of the likelihood of an event occurring. In the case of a coin toss, there are two possible outcomes - heads and tails - and each outcome has an equal probability of occurring, which is 0.5.

Expected value is the average value that we can expect to occur in a series of trials. In the case of a coin toss, the expected value of getting a head is 0.5 because there are two possible outcomes and each outcome has an equal probability of occurring.

Now, if we toss the coin 100 times, we can expect to get a head 50 times and a tail 50 times because the probability of getting a head or a tail is the same for each toss. Therefore, the expected number of heads in 100 tosses of an unbiased coin is 50.

Conclusion:

The expected number of heads in 100 tosses of an unbiased coin is 50 because the probability of getting a head or a tail is the same for each toss and the expected value of getting a head is 0.5.

Hey mate,

The expected number of head in 100 tossed of an unbiased coon is

50

As probability of coming head and tail in each toss is 0.5 or
½

So, 0.5 of 100 tosses is
100×0.5=50

Hope it helps you