Question

(06.02)A six-sided number cube labeled 1 through 6 is rolled 500 times. An odd number is rolled 325 times. Compare the experimental probability of rolling an odd number with the theoretical probability of rolling an odd number and select one of the statements below that best describes the situation.

The experimental probability and theoretical probability are the same.
The experimental probability is larger than the theoretical probability.
The experimental probability is smaller than the theoretical probability.
There is not enough information to determine the relative frequency.

Answer 1

The experimental probability is larger than the theoretical probability.

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

Number of times a die rolled = 500

Number of times an odd number occurs =325

so, the experimental probability would be

`(325)/(500)\\\\=0.65`

And we know that

Number of outcomes in a die = 3

Number of total outcomes = 6

So, The theoretical probability would be

`(3)/(6)=(1)/(2)=0.5`

So, The experimental probability is larger than the theoretical probability.

Hence, Second option is correct.