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You pick a card at random. $\newline$ $5678$ $\newline$ What is $P(\text{not even})$ ? $\newline$ Write your answer as a fraction or whole number. $\newline$ $\_\_\_\_$

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Probability of simple events and opposite events

Full solution

Q. You pick a card at random.

\newline

5678

\newline

What is

P(\text{not even})

?

\newline

Write your answer as a fraction or whole number.

\newline

\_\_\_\_

Identify total number of cards: Step $1$ : Identify total number of cards and even numbers. $\newline$ Total cards = $5678$ . $\newline$ Even numbers from $1$ to $5678$ are every second number, starting from $2$ . So, the number of even numbers = $5678 / 2 = 2839$ .
Calculate number of odd numbers: Step $2$ : Calculate the number of odd numbers. $\newline$ Odd numbers are also every second number, starting from $1$ . So, the number of odd numbers $= \frac{5678}{2} = 2839$ .
Calculate probability of not picking an even number: Step $3$ : Calculate the probability of not picking an even number $P(\text{not even})$ . $P(\text{not even}) = \frac{\text{Number of odd numbers}}{\text{Total number of cards}} = \frac{2839}{5678}$ .
Simplify the fraction: Step $4$ : Simplify the fraction. $2839$ and $5678$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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