An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

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Solution

The correct option is D
An experiment succeeds twice as often as it fails. So, the probability of success is and the probability of failure is.
In the next 5 trials, the experiment needs to succeed in 4 out of the 5 trials. 4 out of 5 trials can be selected in ⁵C₄ = 5 ways.
So, required probability = 5 × × =
Hence option (d)

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