A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, then find the probability that both are dead.
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Answer:
3/28
Step-by-step explanation:
A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, then find the probability that both are dead.
Total 8 Batteries
Dead Batteries = 3
OK Batteries = 8 -3 = 5
probability that both are dead.
Probability of selecting 1st dead battery = 3/8 ( dead batteries/Total Batteries)
After selecting one dead battery now dead battery remained = 3-1 = 2
Total Batteries remained = 8-1 = 7
Probability of selecting 2nd Dead battery = 2/7 ( dead batteries/Total Batteries)
Probability fo choosing both dead batteries = (3/8) * (2/7) = 3/28
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