6/13 It comes out to 24/52 which then simplifys
To calculate the probability of drawing a card that is a 9 or a diamond from a standard deck of 52 cards, we consider the number of favorable outcomes and the total number of possible outcomes.
There are four '9s' in the deck (one from each suit) and 13 diamonds.
However, the 9 of diamonds is counted twice if we simply add these together, so we must subtract it once to get the correct count of favorable outcomes.
Therefore, we have 4 (nines) + 13 (diamonds) - 1 (double counted 9 of diamonds) = 16 favorable outcomes.
The total number of possible outcomes is the total number of cards, which is 52.
This gives us a probability of P(A) = favorable outcomes / total outcomes = 16/52, which can be reduced to 4/13.
The probability of drawing a card that is a 9 or a diamond from a standard deck is 13 4 . This is calculated by counting the total favorable outcomes and dividing by the total number of possible cards. The favorable outcomes are 16 (including avoiding double counting the 9 of diamonds) out of 52 cards.
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