Respuesta :

We need to know the number of favourable outcomes.

The black cards are half of the deck, thus there are 26 black cards

Now there is 12 face cards in a deck. But, half of them are black, which we have already take count of them. There is 6 red face cards.

Then, the number of favourable outcomes is 26 for the black cards, plus 6 for the red face cards:

[tex]26+6=32[/tex]

Now, to calculate the probabilities we need to divide the favourable outcomes by the total outcomes:

[tex]\frac{32}{52}=\frac{8}{13}[/tex]

The probability of the even is 8/13

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