Tara randomly draws a card from a standard 52-card deck. What is the probability that she does not draw a 5 or 6? Enter your answer as a fraction, a/b, in simplest form.

In a standard 52-card deck, there are 4 suits (hearts, diamonds, clubs, spades), and each suit contains one of each rank, including the numbers 5 and 6. Thus, there are:

- 4 cards that are 5s (one for each suit).
- 4 cards that are 6s (one for each suit).

So, the total number of 5s and 6s in the deck is:
\[
4 + 4 = 8
\]

The total number of cards in the deck is 52. Therefore, the number of cards that are not 5s or 6s is:
\[
52 - 8 = 44
\]

The probability of drawing a card that is **not** a 5 or 6 is the ratio of the number of favorable outcomes to the total number of outcomes:
\[
\text{Probability} = \frac{44}{52}
\]

Now, simplify the fraction:
\[
\frac{44}{52} = \frac{11}{13}
\]

Thus, the probability that Tara does not draw a 5 or 6 is:
\[
\boxed{\frac{11}{13}}
\]

Would you like further details or have any questions? 

Here are 5 related questions for further exploration:
1. What is the probability of drawing a 5 or 6 from the deck?
2. What is the probability of drawing a face card (Jack, Queen, or King)?
3. What is the probability of drawing a red card (hearts or diamonds)?
4. What is the probability of drawing an Ace from the deck?
5. What is the probability of drawing a card that is either a spade or a 10?

**Tip:** When simplifying fractions, always check for the greatest common divisor (GCD) to ensure the fraction is in its simplest form.

Learn how to calculate the probability that a card drawn from a 52-card deck is not a 5 or 6. This problem explores fundamental probability concepts and fraction simplification. Suitable for students in Grades 6-8.

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