A coin is tossed 3 times. If X denotes the number of heads, then Match List I with List II.
Choose the correct answer from the options given below: |
A-I, B-IV, C-II, D-III A-III, B-IV, C-I, D-II A-II, B-IV, C-III, D-I A-IV, B-III, C-II, D-I |
A-I, B-IV, C-II, D-III |
The correct answer is Option (1) - A-I, B-IV, C-II, D-III (A) $P(X = 0)={^3C}_0×(\frac{1}{2})^3=\frac{1}{8}$ (I) (B) $P(X = 1)={^3C}_1×(\frac{1}{2})×(\frac{1}{2})^2=\frac{3}{8}$ (IV) (C) $P(X ≤ 2)=1-P(X=3)$ $=1-{^3C}_3(\frac{1}{2})^3=\frac{7}{8}$ (II) (D) $P(X ≥ 2)=P(X=2)+P(X=3)$ $={^3C}_2(\frac{1}{2})^3+{^3C}_3(\frac{1}{2})^3=\frac{4}{8}$ (III) |