When drawing a card from a 52 card deck, what is the probability that you draw a diamond or a number card between 32 and 8 inclusive?

To find the probability of drawing a diamond or a number card between 32 and 8 inclusive from a 52-card deck, we first need to determine the number of favorable outcomes and the total number of possible outcomes.

1. Determine the number of favorable outcomes:
- Diamonds: There are 13 diamonds in a deck (Ace through King), so there are 13 favorable outcomes for drawing a diamond.
- Number cards between 32 and 8 inclusive: From 2 to 10, there are 9 number cards. However, since we want the range between two numbers (32 and 8), we need to subtract the overlapping number cards, which are the 8, 9, and 10 of diamonds (already counted as favorable outcomes of diamonds). So, there are 9 - 3 = 6 favorable outcomes for drawing a number card between 32 and 8 inclusive.

2. Determine the total number of possible outcomes:
Since we are drawing one card from a 52-card deck, there are 52 possible outcomes.

3. Calculate the probability:
The probability is the number of favorable outcomes divided by the total number of possible outcomes.
Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
Probability = (13 + 6) / 52
Probability = 19 / 52

Therefore, the probability of drawing a diamond or a number card between 32 and 8 inclusive from a 52-card deck is 19/52, which can be further simplified if needed.