Question

If a couple desire to have four children, the probability of all being son would be:

• A. 1/4
• B. 1/8
• C. 1/16
• D. 1/32

Hint:

Probability of all sons = (1/2)^n.
Independent events.
n = number of children.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The probability of a child being male is 1/2.
Independent events are multiplied.

Step 2: Key Formula or Approach:
Probability = (1/2)^n, where n is the number of children.

Step 3: Detailed Explanation:
For each child, probability of being male = 1/2.
For four children, probability = (1/2)^4 = 1/16.
Thus, the probability is 1/16.

Step 4: Final Answer:
The probability of all four being sons is 1/16.
Hence, the correct option is (C).