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.