Question

Two cards are drawn without replacement from a standard deck of 5252 playing cards. what is the probability of choosing a queen and then, without replacement, a face card?

Answer 1

The probability of choosing a queen and then, without replacement, a face card is 0.0165.

What is probability?

• Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true.
• The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
• A probability formula can be used to calculate the probability of an event by simply dividing the favorable number of outcomes by the total number of possible outcomes.

To find what is the probability of choosing a queen and then, without replacement, a face card:

• The probability of drawing a queen is 4/52.
• The probability of drawing a face card is 11/51  as the Queen was not put back.

So the probability of drawing one then the second would be:

• 4/52 × 11/51 = 44/2,652 = 0.0165

Therefore, the probability of choosing a queen and then, without replacement, a face card is 0.0165.

Know more about probability here:

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