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You pick a card at random. $\newline$ $6789$ $\newline$ What is $P(9)$ ? $\newline$ Write your answer as a percentage. $\newline$ $\_\_\_\%$

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Probability of simple events

Full solution

Q. You pick a card at random.

\newline

6789

\newline

What is

P(9)

?

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

Identify total digits and $9$ s: Identify the total number of digits in the sequence and the number of times the digit $9$ appears. $\newline$ Total digits: $4$ ( $6$ , $7$ , $8$ , $9$ ) $\newline$ Number of $9$ s: $1$
Calculate probability of picking $9$ : Calculate the probability of picking a $9$ . $\newline$ Probability $P$ = Number of favorable outcomes / Total number of outcomes $\newline$ $P(9) = \frac{1}{4}$
Convert probability to percentage: Convert the probability to a percentage. $\newline$ Percentage = $P(9) \times 100$ $\newline$ Percentage = $(\frac{1}{4}) \times 100 = 25\%$

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