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प्रश्न
A factory produces bulbs. The probability that anyone bulb is defective is `1/50` and they are packed in boxes of 10. From a single box, find the probability that none of the bulbs is defective
उत्तर
Let X be the random variable denoting a bulb to be defective.
Here, n = 10
p = `1/50`
q = `1 - 1/50 = 49/50`
We know that P(X = r) = `""^"n""C"_"r" "p"^"r" "q"^("n" - "r")`
None of the bulbs is defective
i.e., r = 0
P(x = 0) = `""^10"C"_0 (1/50)^0 (49/50)^(10 - 0)`
= `(49/50)^10`
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