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You pick a card at random. $\newline$ $3456$ $\newline$ What is $P(\text{even})$ ? $\newline$ Write your answer as a fraction or whole number. $\newline$ $\_\_$

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Probability of one event

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Q. You pick a card at random.

\newline

3456

\newline

What is

P(\text{even})

?

\newline

Write your answer as a fraction or whole number.

\newline

\_\_

Identify total number of cards: Identify the total number of cards and even cards in a standard deck. $\newline$ A standard deck has $52$ cards. Half of these, or $26$ , are even ( $2$ , $4$ , $6$ , $8$ , $10$ for each of the four suits). $\newline$ Calculation: Total cards = $52$ , Even cards = $26$
Calculate probability of picking: Calculate the probability of picking an even card. Probability $P$ is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Calculation: $P(\text{even}) = \frac{\text{Even cards}}{\text{Total cards}} = \frac{26}{52}$
Simplify the fraction: Simplify the fraction to find the final probability. $\newline$ Simplifying $\frac{26}{52}$ by dividing both numerator and denominator by their greatest common divisor, which is $26$ . $\newline$ Calculation: $\frac{26}{52} = \frac{1}{2}$

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