In a deck of 52 playing cards what is the probability of drawing either a heart or a club then a spade or a diamond, if each card is returned to the deck before drawing the next one?
The probability of drawing a heart or a club first is 26/52, since there are 26 red cards (13 hearts and 13 diamonds) out of a total of 52 cards.
After returning the card to the deck, the probability of drawing a spade or a diamond is also 26/52, since there are 26 black cards (13 spades and 13 clubs) out of a total of 52 cards.
To find the probability of both events happening (drawing either a heart or a club first and then drawing either a spade or a diamond), we multiply the probabilities together:
(26/52) * (26/52) = 676/2704 = 0.25 = 25%
Therefore, the probability of drawing a heart or a club first, and then drawing a spade or a diamond, is 25%.