Respuesta :

I There would be 52-4 = 48 cards that are not aces.

The probability of picking a non ace card would be 48 out of 52, which is written as 48/52, which reduces to 12/13

The probability of randomly drawing a card that is not an ace is [tex]\frac{12}{13}[/tex].

What is the probability?

Probability is the chance of happening of an event or incident.

Given, a standard deck of 52 cards contains 4 aces.

Therefore, the different ways one card can be drawn from 52 cards is

P(A) = [tex]C^{52}{1}[/tex] = 52.

Similarly, the different ways one ace can be drawn from 4 aces is

P(B) = [tex]C^{4}{1}[/tex] = 4.

Therefore, the probability of randomly drawing a card that is an ace

P(X) [tex]= \frac{P(A)}{P(B)} = \frac{4}{52} = \frac{1}{13}[/tex].

Now, the probability of randomly drawing a card that is not an ace

= 1 - P(X)

= 1 - [tex]\frac{1}{13}[/tex]

= [tex]\frac{12}{13}[/tex]

Learn more about probability here: https://brainly.com/question/12926100

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