Question

During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experimental probability of rolling a two was approximately 1/9. Why is Juan’s experimental probability incorrect?

Answer 1

Juan's claim is incorrect. The correct experimental probablilty is StartFraction 2 over 9 EndFraction.

Explanation:

took the test.

Answer 2

`(2)/(9)`

Explanation:

Given :

Juan rolled a six-sided number cube 18 times.

The number two occurred four times.

To Find: Juan claimed the experimental probability of rolling a two was approximately 1/9. Why is Juan’s experimental probability incorrect?

Solution:

Total events = number of times cube rolled = 18

Favorable events = The number two occurred four times. = 4

So, Experimental probability =
`\frac{\text{Favorable events}}{\text{Total events}}`

=
`(4)/(18)`

=
`(2)/(9)`

Thus the experimental probability of rolling a two was
`(2)/(9)`

So, Juan’s experimental probability was incorrect.