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You pick a card at random. $\newline$ $1234$ $\newline$ 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

1234

\newline

What is

P(4)

?

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

Identify Total Number: Step $1$ : Identify the total number of cards and the specific card we are interested in. $\newline$ We have cards labeled $1$ , $2$ , $3$ , and $4$ . So, the total number of cards is $4$ . $\newline$ We need to find the probability of picking the card labeled ' $4$ '.
Calculate Probability: Step $2$ : Calculate the probability. $\newline$ The probability formula is $P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ . $\newline$ Here, the number of favorable outcomes (picking a card labeled ' $4$ ') is $1$ . $\newline$ Total number of possible outcomes (total cards) is $4$ . $\newline$ $P(4) = \frac{1}{4}$
Convert to Percentage: Step $3$ : Convert the probability to a percentage. $\newline$ To convert a fraction to a percentage, multiply it by $100$ . $\newline$ $P(4) = \left(\frac{1}{4}\right) \times 100 = 25\%$

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