Let \(X\) denotes the number of heads in a simultaneous toss of three coins, then \(P (0 \lt x \lt 3)\) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\displaystyle\frac{3}{4}\)
Three coins give 8 equally likely outcomes. X takes the values 0, 1, 2, 3, and the strict inequalities leave only X = 1 and X = 2:
X = 1: HTT, THT, TTH (3 outcomes)
X = 2: HHT, HTH, THH (3 outcomes)
\( \displaystyle P(0 \lt X \lt 3) = \frac{3 + 3}{8} = \frac{3}{4} \)