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What is the probability of not drawing a queen from a standard deck of 52 cards?

a. 1 over 13
b. 4 over 13
c. 12 over 13
d. 51 over 52

User Bjmc
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1 Answer

6 votes

Final answer:

The probability of not drawing a queen from a standard 52-card deck is 12/13, which simplifies from 48 non-queen cards divided by 52 total cards. This is answer option c. 12 over 13.

Step-by-step explanation:

The question involves determining the probability that a randomly drawn card from a standard deck of 52 cards is not a queen. There are 4 queens in a deck and 48 cards that are not queens. Therefore, the probability of not drawing a queen is the number of non-queen cards divided by the total number of cards:

Probability of not drawing a queen = Number of Non-Queen Cards / Total Number of Cards = 48/52.

This can be simplified to:

Probability of not drawing a queen = 12/13.

The correct answer to the student's question is c. 12 over 13.

For other example questions:

  • If you were to draw a bridge hand, the probability of not having a heart would be calculated by considering the selection of 13 cards from the 39 non-heart cards.
  • When drawing with replacement, the probability of drawing two face cards (FF) can be calculated using the tree diagram.
  • The probability of drawing at least one black card, when you draw two cards with replacement, factors in the likelihood of drawing either a spade or club on each draw.

User Boerre
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