Question

From a pack of $52$ cards. Find the probability of drawing a ‘$9$’ of a black suit.
A) $\dfrac{1}{26}$
B) $\dfrac{1}{52}$
C) $\dfrac{1}{13}$
D) $1$

Answer 1

From a pack of $52$ cards. We have to find the probability of drawing a ‘$9$’ of a black suit. The total number of cards is 52, the number of cards '9' of the black suit is 2. Try it, you will definitely get the answer.

Complete step by step solution:
In a pack or deck of $52$ playing cards, they are divided into $4$ suits of $13$ cards each i.e. spades hearts, diamonds, clubs.
Cards of Spades and clubs are black cards.
Cards of hearts and diamonds are red cards.
The cards in each suit are ace, king, queen, jack or knaves, $10$, $9$, $8$, $7$, $6$, $5$, $4$, $3$ and $2$.
King, Queen and Jack (or Knaves) are face cards. So, there are $12$ face cards in the deck of $52$ playing cards.
Now here, we have to find the probability of drawing a ‘$9$’ of a black suit.
So we know that the number of cards '9' of the black suit is 2.
The probability of drawing a ‘$9$’ of a black suit $=\dfrac{\text{Number of cards 9 of black suit}}{\text{Total number of cards}}$.
The probability of drawing a ‘$9$’ of a black suit $=\dfrac{2}{52}$.
Simplifying in the form we get,
The probability of drawing a ‘$9$’ of a black suit$=\dfrac{1}{26}$.
From a pack of $52$ cards, the probability of drawing a ‘$9$’ of a black suit is $\dfrac{1}{26}$.

Additional information:
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Note:
We have used a simple probability formula. The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.