If a fair coin is tossed 10 times, find the probability of(i)         exactly six heads        (ii)        at least six heads(iii)       at most six heads

Explanation

To solve the problem of finding the probabilities of getting heads when a fair coin is tossed 10 times, we will use the concept of binomial distribution.

### Given:
- Number of trials (n) = 10
- Probability of getting heads (p) = 1/2
- Probability of getting tails (q) = 1 - p = 1/2

The probability of getting exactly k heads in n tosses is given by the formula:
...