A SINGLE CARD IS SELECTED FROM A STANDARD DECK OF 52 CARDS. IF YOU KNEW THAT THE CARD WAS A PICTURE CARD, WHAT IS THE PROBABILITY THAT IT WAS ALSO RED?
First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you.
There are 12 picture cards and half of them are red. Does that help?
To determine the probability that a picture card is also red, we need to calculate the proportion of red picture cards to the total number of picture cards in a standard deck of 52 cards.
Step 1: Identify the number of picture cards
In a standard deck of playing cards, there are 4 suits (hearts, diamonds, clubs, and spades) and each suit contains 3 picture cards (king, queen, and jack), making a total of 12 picture cards.
Step 2: Determine the number of red picture cards
Among the 12 picture cards, 6 are red (the hearts and diamonds suits) and 6 are black (the clubs and spades suits).
Step 3: Calculate the probability
Now that we know there are 6 red picture cards, out of a total of 12 picture cards, we can calculate the probability of selecting a red picture card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= 6 / 12
= 1/2
= 0.5
Therefore, the probability that a picture card selected from a standard deck is also red is 0.5 or 50%.