Write the correct answer in the following: The probability that b… - Vidyadip

Question

Write the correct answer in the following:
The probability that bulbs selected randomly from the lot has life less than 900 hours is:

$\frac{11}{40}$
$\frac{5}{16}$
$\frac{7}{16}$
$\frac{9}{16}$

✓

Answer

$\frac{9}{16}$

Solution:
Total number of bulbs in a lot, n(S) = 80
Number of bulbs whose life time is less than 900h, n(E) = 10 + 12 + 23 = 45
Probability that bulbs has life time less than 900h $=\frac{\text{n(E)}}{\text{n(S)}}=\frac{45}{80}=\frac{9}{16}$
Hence, the probability that bulb has life time less than 900 is $\frac{9}{16}$

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