# A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

**Solution:**

Standard deviation tells about the value that how much it has deviated from the mean value.

We know that,

Standard deviation SD = √npq

**Where n is the number of trials, p is the probability of success and q is the complement of p.**

From the question,

n = 360, p = 1/6

q = 1 - p

= 1 - 1/6

**= 5/6**

**Substituting these values**

SD = √(360 × 1/6 × 5/6)

SD = √50

SD ≈ 7.07

**Therefore, the standard deviation is 7.07**

## A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

**Summary:**

A die is rolled 360 times. The standard deviation for the number of 3s that will be rolled is 7.07