An experiment consists of tossing four fair coins independently. The outcome of the experiment is considered favourable, if the number of heads is greater than the number of tails. The probability of a favourable outcome from a single experiment is 

Explanation:

When tossing 4 coins, each coin has 2 possible outcomes (heads or tails). Therefore, the total

number of possible outcomes is \(2^4 = 16 \text{ outcomes}.\)

A favorable outcome occurs when the number of heads is greater than the number of tails.

In 4 coin tosses, we need 3 heads and 1 tail, or 4 heads and 0 tails.

The number of ways to choose 3 heads from 4 tosses is given by \(\binom{4}{3} = 4 \) and there is only 1 way to get 4 heads, i.e., HHHH .

Thus, the total number of favorable outcomes is \(4 \text{ (for 3 heads, 1 tail)} + 1 \text{ (for 4 heads)} = 5 \text{ favorable outcomes}.\)

The probability is the ratio of favorable outcomes to total outcomes \(P(\text{Favorable}) = \frac{5}{16}.\)

The probability of a favorable outcome is Option 3).