Respuesta :
A deck of cards has 13 face values: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. These face values are present for four different suits (Clubs, Diamonds, Hearts, and Spades) for a total of 52 cards.
An event's probability in an experiment with equally likely outcomes is defined by the following formula, where P (event) means the probability of the event occurring and is founding by dividing the number of outcomes in the event by the number of outcomes in the sample space:
[tex]P(event)=\frac{Number\text{ }of\text{ outcomes in the event}}{Number\text{ of outcomes in the sample space}}[/tex]The probability of not getting the event is given to be:
[tex]P^{\prime}(event)=1-\frac{Number\text{ }of\text{ outcomes in the event}}{Number\text{ of outcomes in the sample space}}[/tex]Since there are 4 cards with a face value of 9, the probability of getting a 9 is:
[tex]P(9)=\frac{4}{52}=\frac{1}{13}[/tex]Therefore, the probability of not getting a 9 is given to be:
[tex]\begin{gathered} P^{\prime}(9)=1-\frac{1}{13} \\ P^{\prime}(9)=\frac{12}{13} \end{gathered}[/tex]In two decimal places, the probability that the card picked does not have a face value of 9 is 0.92.
