One card is selected at random from a standard deck of cards of 52. what is the probablity that the card selected is red or picture card?
one card is selected at random from a standard deck of cards of 52. what is the probablity that the card selected is red or picture card
one card is selected at random from a standard deck of cards of 52. what is the probablity that the card selected is red or picture card
2 Answers
Explanation:
In a deck of cards, half of the cards are red (26) and (assuming no jokers) we have 4 jacks, 4 queens and 4 kings (12).
However, of the picture cards, 2 jacks, 2 queens, and 2 kings are red.
What we want to find is "the probability of drawing a red card OR a picture card"
Our relevant probabilities are that of drawing a red card or a picture card.
P(red)=
P(picture)=
For combined events, we use the formula:
P
Which translates to:
P(picture or red)=P(red)+P(picture)-P(red and picture)
P(picture or red)=
P(picture or red)=
Number of red cards = 26 (diamonds and hearts)
Number of picture cards = 3*4 = 12 (J,Q,K of each of the 4 suits)
Number of picture cards that are red = 3*2 = 6 (J,Q,K of diamonds and clubs)
Number of picture cards or red = (26 + 12 - 6) = 32
P(red or picture) = Number of favorable / Number of total =