# What is the most probable number of successes in $10$ trials with probability of success $\dfrac{2}{3}$?

A.10

B.7

C.5

D.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.

**Complete step-by-step answer:**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.**

**Additional information:**

Probability- Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about probabilities.

**Note:**In these types of questions, we can also use the formula of probability that is favorable outcomes/total number of outcomes. Just calculate the favorable outcomes from the given question and divide it by the total possible outcomes to get the desired results