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Question

Mathematics Question on Probability

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

A

130\frac{1}{30}

B

28\frac{2}{8}

C

115\frac{1}{15}

D

110\frac{1}{10}

Answer

130\frac{1}{30}

Explanation

Solution

The required probability = 410×39×28=130\frac{4}{10} \times \frac{3}{9} \times \frac{2}{8} = \frac{1}{30}