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You pick a card at random. $\newline$ $2345$ $\newline$ What is $P(4)$ ? $\newline$ 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

2345

\newline

What is

P(4)

?

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

Identify total digits and ' $4$ ' count: Identify the total number of digits in the sequence and the number of times ' $4$ ' appears. $\newline$ Total digits = $4$ ( $2$ , $3$ , $4$ , $5$ ) $\newline$ Number of ' $4$ 's = $1$
Calculate probability of picking ' $4$ ': Calculate the probability of picking ' $4$ '. $\newline$ $P(4) = \frac{\text{Number of '4's}}{\text{Total digits}}$ $\newline$ $= \frac{1}{4}$
Convert probability to percentage: Convert the probability to a percentage. $\newline$ P( $4$ ) as a percentage = $(1 / 4) * 100\%$ $\newline$ = $25\%$

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