Ten bulbs are drawn successively with replacement from a lot containing 10% defective bulbs. The probability that there is at least one defective bulb is : |
$1-(9^9/10^9)$ $9/10$ $1-(9^{10}/10^{10})$ $1-(10^{10}/9^{10})$ |
$1-(9^{10}/10^{10})$ |
The correct answer is Option (3) → $1-(9^{10}/10^{10})$ P(atleast one defective bulb) = 1 - P(no defective bulb) $=1-{^{10}C}_0×(100\%-10\%)^{10}$ $=1-(\frac{9}{10})^{10}$ |