Question

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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Answer 1

Answer:

(c)

Step-by-step explanation:

Firstly, let's say there are 3 possibilities, 2 successful, 1 not successful

So, in 1 experiment, 2/3 is successful and 1/3 isn't.

Then, we know that there needs to be 4 successful

=>(2/3)⁴

And 1 unsuccessful

=>(1/3)

And the 1 unsuccessful trial can be in 5 different places-*5

So, finally, we have

(2/3)⁴*(1/3)*5

Option (c)