Question

A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your friends buy 60 bottles of juice. You find 4 of the bottles have a winning cap. What is the experimental probability of winning a prize in the contest? Express your answer as a fraction in simplest form.

Answer 1

Answer: hope this helps ♡

The experimental probability of winning a prize in the contest is 1/15.

Explanation:

We want to write the probability of winning a prize in the contest.

Here, the number of bottles with a winning cap is 4 and the total (number of bottles) is 60.

Hence, we will write that the experimental probability of winning a prize in the contest is 4/60.

4/60 simplified is:
`(4)/(60)=(4 divided by 4)/(60dividedby4) = (1)/(15)`

Answer 2

`\Huge \boxed{ \text{$(1)/(15)$}}`

Explanation:

Experimental probability is the probability calculated by performing actual experiments and observing the outcomes. In this case, the experiment is buying juice bottles and checking if they have a winning cap.

• You and your friends bought 60 bottles of juice.
• You found 4 of them had winning caps.

To find the experimental probability, we need to divide the number of winning caps (favourable outcomes) by the total number of bottles (possible outcomes).

The experimental probability can be expressed as a fraction:

`\frac{ \text{ \huge Number of Winning Caps}}{\text{ \huge Total Number of Bottles}}`

Now, let's plug in the numbers you provided:

`\huge \text{ $(4)/(60)$}`

To simplify this fraction, we need to find the greatest common factor (GCF), of the numerator (4) and the denominator (60) and then divide both by the HCF. The HCF of 4 and 60 is 4. So, we divide both the numerator and the denominator by 4:

`\huge \text{ $(4 / 4)/(60 / 4)$= $(1)/(15)$}`

So, the experimental probability of winning a prize in the contest is
`(1)/(15)`. This means that, based on your experiment, there is 1 chance in 15 of finding a winning cap when buying a bottle of juice.

________________________________________________________