Question

The probability that in a family of 2 children, there is at least one girl, is

• A.
  $\frac{3}{4}$
• B.
  $\frac{1}{2}$
• C.
  $\frac{1}{4}$
• D.
  1

Answer 1

The correct option is A

$\frac{3}{4}$
Let G represents a girl and B represents a boy.
Total number of outcomes are $BB,BG,GB,GG.$
Let A be the event of choosing at least one girl.
Thus, the possible outcomes favourable to A are BG, GB, GB.

$\therefore$Number of possible outcomes favourable to A = 3

$\therefore P\left(A\right)=\frac{\text{Number of outcomes favourable to A}}{\text{number of all possible outcomes}}=\frac{3}{4}$

Hence, the correct answer is option a.