Final answer:
The probability of drawing either a red card or a queen from a standard deck of 52 playing cards is 7/13, which is calculated by adding the number of red cards (26) and the number of black queens (2), since red queens are already included in the number of red cards.
Step-by-step explanation:
To calculate the probability of drawing a red card or a queen from a standard deck of 52 playing cards, we can use the following information:
- There are 26 red cards (hearts and diamonds) in a deck.
- There are 4 queens in the deck.
- 2 of the queens are red (hearts and diamonds), which are already counted in the 26 red cards.
Thus, the number of favorable outcomes is the sum of all red cards plus the black queens not already counted (26 red cards + 2 black queens). This gives us 26 + 2 = 28 favorable outcomes.
Now we can calculate the probability as follows:
Probability = Number of favorable outcomes / Total number of outcomes = 28 / 52
After reducing the fraction, we get:
Probability = 7 / 13
This means the probability of drawing either a red card or a queen is 7/13.