Question

9. Courtney rolled a number cube 76 times. The number two appeared 24

times. What is the experimental probability of rolling a two? Express all
probability as fractions in simplest terms.

Answer 1

`(6)/(19)`

Explanation:

Experimental probability is based on what has happened already.

Theoretical probability is what should happen.

Example, a coin has 2 sides:

head or tail

The theoretical probability of flipping a head in a flip is:

1/2

But say, an experiment had a coin flipped 10 times and it came 6 heads and 4 tails, the probability of head would then be:

6/10 = 3/5

A bit different than the theoretical one because it is the experimental probability.

Now, back to our question -----

76 times rolled (76 trials total)

2 appeared "24" times (24)

P(rolling a two) = 24/76 = 6/19

THis is the experimental probability of the experiment of 76 trials.