Question

probability of selecting one card from a standard deck probability of selecting one card from a standard deck suppose one card is drawn at random from a standard deck. answer each part. write your answers as fractions. (a) what is the probability that the card drawn is a four? (b) what is the probability that the card drawn is a red card?

Explanation:

Step1: Determine total number of cards

A standard deck has 52 cards.

Step2: Find number of fours

There are 4 fours (one in each suit).
The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So for drawing a four, $P(\text{four})=\frac{4}{52}=\frac{1}{13}$.

Step3: Find number of red cards

There are 26 red cards (13 hearts and 13 diamonds).
Using the probability formula, $P(\text{red})=\frac{26}{52}=\frac{1}{2}$.

Answer:

(a) $\frac{1}{13}$
(b) $\frac{1}{2}$