Q80 / 180 · KCET 2018 · Mathematics

A flashlight has $ 10 $ batteries out of which $ 4 $ are dead. If $ 3 $ batteries are selected without
replacement andtested, then the probability that all $ 3 $ are dead is

Correct answer
A
$ \frac{1}{30} $
B
$ \frac{2}{8} $
C
$ \frac{1}{15} $
D
$ \frac{1}{10} $

Solution

Total number of batteries are 10 Number of dead batteries is 4 So, P(all three dead) $=\frac{4}{10} \times \frac{3}{9} \times \frac{2}{8}=\frac{1}{30}$

Hence, the correct answer is option: 'A'.

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A flashlight has \( 10 \) batteries out of which \( 4 \) are dead. If \( 3 \) batteries are selected withoutreplacement andtested, then the probability that all \( 3 \) are dead is

Solution

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A flashlight has \( 10 \) batteries out of which \( 4 \) are dead. If \( 3 \) batteries are selected without
replacement andtested, then the probability that all \( 3 \) are dead is