You are dealt a card from a 52-card deck. Find the probability that you are dealt a club or a picture card.
To find the probability of being dealt a club or a picture card, we need to calculate the number of favorable outcomes (clubs or picture cards) and divide it by the total number of possible outcomes.
Number of favorable outcomes:
There are 13 clubs in a standard deck of cards (Ace, 2-10, Jack, Queen, King) and there are 3 picture cards in each suit (Jack, Queen, King). Since there are four suits, the number of picture cards is 3*4 = 12.
However, we need to subtract the three picture cards that are clubs (Jack, Queen, King of clubs) since they have already been included in the count of clubs. Thus, there are actually 12-3 = 9 picture cards that are not clubs. Therefore, the total number of favorable outcomes is 13 (clubs) + 9 (non-club picture cards) = 22.
Total number of possible outcomes:
There are 52 cards in a deck.
So, the probability of being dealt a club or a picture card is 22/52 = 11/26, or approximately 0.4231, or 42.31%.