If one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack, a three, a

club or a diamond. Round to the nearest hundredth

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To determine the probability of drawing a jack, a three, a club, or a diamond from a standard 52-card deck, we need to calculate the number of favorable outcomes (cards that meet the conditions) and divide it by the total number of possible outcomes (the entire deck).

1. Number of favorable outcomes:
- There are 4 jacks in a deck (one jack for each suit).
- There are 4 threes in a deck (one three for each suit).
- There are 13 clubs in a deck.
- There are 13 diamonds in a deck.

Therefore, the number of favorable outcomes is 4 (jacks) + 4 (threes) + 13 (clubs) + 13 (diamonds) = 34.

2. Total number of possible outcomes:
A standard deck has 52 cards, so there are 52 possible outcomes.

3. Probability calculation:
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 34 / 52

Simplifying the fraction, we get:

Probability ≈ 0.6538

Rounded to the nearest hundredth, the probability of drawing a jack, a three, a club, or a diamond is approximately 0.65.