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Sagot :
Answer:
Step-by-step explanation:
In a standard deck of 52 cards, the values range from 2 to 10, along with the face cards (Jack, Queen, King) and the Ace. The cards that have a value less than 5 are 2, 3, and 4.
Each of these values (2, 3, and 4) appears in each of the four suits: hearts, diamonds, clubs, and spades. Thus, there are:
- 4 cards of value 2
- 4 cards of value 3
- 4 cards of value 4
So, the total number of cards with a value less than 5 is:
\[ 4 (for\ 2) + 4 (for\ 3) + 4 (for\ 4) = 12 \]
The probability of drawing one of these cards from a standard deck of 52 cards is the ratio of the number of favorable outcomes to the total number of possible outcomes:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{12}{52} \]
Simplify this fraction:
\[ \frac{12}{52} = \frac{3}{13} \]
Therefore, the probability that the value of the selected card is less than 5 is:
\[ \frac{3}{13} \]
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