Question
Biology Question on Principles of Inheritance and Variation
Probability of four son to a couple is : -
A
01-Apr
B
01-Aug
C
Jan-16
D
Jan-32
Answer
Jan-16
Explanation
Solution
The binomial probability formula is: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k) where (n choose k) is the binomial coefficient, which can be calculated as: (n choose k) = n! / (k!(n - k)!) In this case, k = 4, n = 4, and p = 1/2. Let's calculate it step by step: (n choose k) = 4! / (4!(4 - 4)!) = 1 (because 4 choose 4 is always 1) Now, put these values into the binomial probability formula: P(X = 4) = 1 * (1/2)^4 * (1 - 1/2)^(4 - 4) P(X = 4) = 1 * (1/16) * (1) P(X = 4) = 1/16 So, the probability of a couple having four sons is 1/16, which corresponds to option (C).