Question

The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the number 2 to apper

Answer 1

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

$P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$

$P(2)=\dfrac{2}{6}$

$P(2)=\dfrac{1}{3}$

Now, the expected number of times when 2 to appear is:

$E(x)=114\times P(2)$

$E(x)=114\times \dfrac{1}{3}$

$E(x)=38$

Therefore, the expected number of times is 38.