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# 5. From a well-shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.

In a standard deck of 52 playing cards, there are 2 black queens: the queen of spades and the queen of clubs. Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck. Total number of favorable outcomes (black queens): There are 2 black queens in the deck. Now,...

In a standard deck of 52 playing cards, there are 2 black queens: the queen of spades and the queen of clubs.

1. Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.

2. Total number of favorable outcomes (black queens): There are 2 black queens in the deck.

Now, let's calculate the probability of drawing a black queen:

Probability=Number of favorable outcomesTotal number of possible outcomes

$$&space;\text{Probability}&space;=&space;\frac{\text{Number&space;of&space;favorable&space;outcomes}}{\text{Total&space;number&space;of&space;possible&space;outcomes}}&space;$&space;$&space;\text{Probability}&space;=&space;\frac{2}{52}&space;$&space;$&space;\text{Probability}&space;=&space;\frac{1}{26}&space;$&space;So,&space;the&space;probability&space;of&space;drawing&space;a&space;black&space;queen&space;from&space;a&space;well-shuffled&space;deck&space;of&space;52&space;cards&space;is&space;$$&space;\frac{1}{26}&space;$$.$

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