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A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 56 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 10 ducks marked as medium-prize winners, and 20 ducks marked as small-prize winners. Find the theoretical probability of winning a small prize at the duck pond. Express your answer as a percent. If necessary, round your answer to the nearest thousandth.

35.714%

62.5%

280%

64.286%

Respuesta :

The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%[/tex]

Hence, the probability of winning a small prize in the carnival is 35.714%.

Learn more about Probability:

https://brainly.com/question/795909

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