Given:

• Number of patients (n): 3
• Probability of recovery (p): 0.6
• Probability of failure (q): 0.4
• We are asked to find: Probability that exactly 2 out of 3 patients will recover.

Solution: We will use the Binomial Probability Formula to solve this.

Step 1: Binomial Probability Formula:

The formula is:
$$ P(X = r) = \binom{n}{r} p^r (1 - p)^{n - r} $$ Where:
\( n = 3 \), \( r = 2 \), \( p = 0.6 \), \( 1 - p = 0.4 \)

Step 2: Calculate the binomial coefficient \( \binom{3}{2} \):

Step 3: Substitute values into the formula:

✅ Final Answer: 0.432