Question

Min is about to roll a six-sided number cube. What is the experimental probability that she will roll an even number based on her previous trials?A) 0.25

B) 0.43
C) 0.5
D) 0.67

Answer 1

Therefore the experimental probability that she will roll an even number is

C ) 0.5

Explanation:

Let S be the sample space for the given experiment that to Roll six sided number Cube

∴ S ≡ { 1, 2, 3, 4, 5, 6}

∴ n(S) = 6

Let 'A' be the event of experiment that she will roll an even number

∴ A ≡ { 2, 4, 6 }

∴ n(A) = 3

To Find:

P(A) = ?

Solution:

We know that for any experiment probability is given by

`\textrm{probability of the experiment}=\frac{\textrm{number of favourable outcomes}}{\textrm{total number of outcomes}}`

Substituting the values we get

`P(A)=(n(A))/(n(S)) =(3)/(6) =(1)/(2) =0.5`

Therefore the experimental probability that she will roll an even number is

C ) 0.5