Question

Ms.McClain conducted an experiment with a 6- sided number cube. The table shows the number of times each number landed:

For which number did the theoretical probability equal the experimental probability?

Answer choices:
A) 1
B) 4
C) 3
D) 5

Answer 1

For number 1 (option A), the theoretical probability equal the experimental probability.

Explanation:

The given is,

Ms.McClain conducted an experiment with a 6- sided number cube

Step:1

For theoretical probability,

`P(number) _(T) = (Number of favorable outcomes)/(Total number of outcomes)` ×
`No.of times`

For Number 1,

`P(1) _(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(1)_(T)` = 8

For Number 2,

`P(2) _(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(2)_(T)` = 8

For Number 3,

`P(3)_(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(3)_(T)` = 8

For Number 4,

`P(4)_(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(4)_(T)` = 8

For Number 5,

`P(5) _(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(5)_(T)` = 8

For Number 6,

`P(6) _(T) = (1)/(6) (48)`

= (0.1667)(48)

`P(6)_(T)` = 8

Step:2

Experimental probability from table,

`P(1) _(E) =8`

`P(2) _(E) =10`

`P(3) _(E) =7`

`P(4) _(E) =6`

`P(5) _(E) =9`

`P(6) _(E) =8`

Step:3

In compare with theoretical probability and experimental probability the number 1 and 6 are equal.

From the given options the number 1 is selected.

Result:

For number 1 (option A), the theoretical probability equal the experimental probability.