you are dealt one card from a standard 52 - card deck. find the probability of being dealt a red card. the…

Explanation:

Step1: Determine total number of outcomes

The total number of cards in a deck is 52, so the total number of possible outcomes when drawing one - card is $n(S)=52$.

Step2: Determine number of favorable outcomes

In a standard 52 - card deck, there are 26 red cards (13 hearts and 13 diamonds). So the number of favorable outcomes $n(E)=26$.

Step3: Calculate the probability

The probability formula is $P(E)=\frac{n(E)}{n(S)}$. Substituting the values, we get $P(E)=\frac{26}{52}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$