Respuesta :
The probability of picking a red face card from the deck is [tex](\frac{3}{26} )[/tex]
The probability of NOT picking a red face card from the deck is [tex](\frac{23}{26} )[/tex]
Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = [tex]\frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}[/tex]
So, here P(Picking a red face card) = [tex]\frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} = (\frac{6}{52} ) = (\frac{3}{26})[/tex]
Hence, the probability of picking a red face card from the deck is [tex](\frac{3}{26} )[/tex]
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
[tex]= 1 - (\frac{3}{26} ) = \frac{26-3}{26} = (\frac{23}{26})[/tex]
Hence, the probability of NOT picking a red face card from the deck is [tex](\frac{23}{26} )[/tex]
