Let x denotes the number of heads in a simultaneous toss of three coins, then $P(0 < x ≤3)$ |
$\frac{1}{2}$ $\frac{3}{4}$ $\frac{7}{8}$ 1 |
$\frac{7}{8}$ |
The correct answer is Option (3) → $\frac{7}{8}$ Sample space for 3 coins → total outcomes = 8. Possible values of $x$ (number of heads): 0, 1, 2, 3. $P(0 < x \le 3)$ means $P(x = 1 \text{ or } 2 \text{ or } 3)$. $P(x = 1) = \frac{3}{8},\; P(x = 2) = \frac{3}{8},\; P(x = 3) = \frac{1}{8}$ Hence, $P(0 < x \le 3) = \frac{3 + 3 + 1}{8} = \frac{7}{8}$ Final Answer: $\frac{7}{8}$ |