# What is the most probable number of successes in $10$ trials with probability of success $\dfrac{2}{3}$?A.10B.7C.5D.4

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Hint: In this type of question, first explain the given probability, then relate it with another example. At last find the answer by using a probability formula.

To solve this question, first explain the given probability of success.
Probability of success=$\dfrac{2}{3}$
It means out of three trials, $2$ are a success.
We also can consider that out of $9$ trials $6$ are success.
So, the probable number of success in $10$ trials is.
We can find it by using probabilities formula
Most probable number of success in $10$ trials$= \,\dfrac{2}{3} \times 10 = 6.67$
Which is almost equal to $7$.
Therefore option B is the correct option.