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A card is chosen at random from a deck of 24 cards, 4 red, 8 black, 6 blue, and 6 green.
Then, the card is returned to the deck and a new card is chosen. The table below shows
the results of choosing 18 cards. For which color of card is the experimental
probability the same as the theoretical probability?

Respuesta :

The color of the card should be “Red.”
MrRoyal

The probability of an event is the chances of the event.

The color of card with the same experimental and theoretical probability is red.

The number of cards is:

[tex]\mathbf{n = 24}[/tex]

The number of red cards is:

[tex]\mathbf{n = 6}[/tex]

So, the theoretical probability of red color is;

[tex]\mathbf{Pr = \frac{4}{24}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{1}{6}}[/tex]

From the table, the experimental probability of red is:

[tex]\mathbf{Pr = \frac{3}{18}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{1}{6}}[/tex]

By comparing the above probabilities, red color have the same experimental and theoretical probability.

Read more about probabilities at:

https://brainly.com/question/11234923

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