Question

If two coins are tossed simultaneously, write the probability distribution of the number of heads.

Hint:

For a binomial experiment with \( n \) trials and probability \( p \), the probability of \( X \) successes follows: \[ P(X = k) = \binom{n}{k} p^k (1 - p)^{n-k}. \]

Answer 1

Step 1: Determine Sample Space 
When two fair coins are tossed, the possible outcomes are:

Step 3: Find the Probability Distribution