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The Hearts and the Spades
There are 13 of each suit in a standard deck of cards. Assuming there are no jokers, the probability of picking either a club or a diamond is (13+13)/52 or 0.5. There are also four aces in a standard deck. However, we've already accounted for two of them (the ace of clubs and the ace of diamonds), so we're only adding two additional possibilities. The probability of choosing an ace, a club, or a diamond from a standard deck is therefore 28/52 (you can figure the decimal value yourself).
The probability of drawing a 10 or a diamond out of 52 cards is 16 in 52, or 4 in 13. There are 4 tens and 13 diamonds, but one ten is also a diamond, so there are 16 cards that are a ten or a diamond.
If you draw 40 cards without replacement the probability is 1! If you draw just one, the probability is 1/4.
Probability not a club = 1 - probability it is a club = 1 - 13/52 = 1 - 1/4 = 3/4.
The probability of a club is 1/4 and the probability of a diamond is 1/4 so since they are mutually exclusive you just add them and the total probability is 1/2 Of course there are 4 suits, and clubs and diamonds are 2 of the 4 so we could have just said 1/2.
It is (1/4)*(1/4) = 1/16
The Hearts and the Spades
the probability of picking a king from a deck of cards is 4/52,which is 1/13 because there are 4 kings. Which are king of heart, king of diamond,king of club and king of spade. And the probability of picking a diamond is 13/52,which is 1/4.
The probability is 0. One card cannot be a club and a spade!
The answer depends on how many cards are drawn. It is 0 if only one card is drawn and 1 if 40 cards are drawn without replacement.
The probability of not getting a club is the same as the probability of getting one of the other suits. There are (52-13)=39 such possibilities out of 52. Hence the probability is 39/52=3/4.
There are 13 of each suit in a standard deck of cards. Assuming there are no jokers, the probability of picking either a club or a diamond is (13+13)/52 or 0.5. There are also four aces in a standard deck. However, we've already accounted for two of them (the ace of clubs and the ace of diamonds), so we're only adding two additional possibilities. The probability of choosing an ace, a club, or a diamond from a standard deck is therefore 28/52 (you can figure the decimal value yourself).
The probability of drawing a 10 or a diamond out of 52 cards is 16 in 52, or 4 in 13. There are 4 tens and 13 diamonds, but one ten is also a diamond, so there are 16 cards that are a ten or a diamond.
If you draw 40 cards without replacement the probability is 1! If you draw just one, the probability is 1/4.
The probability of getting a diamond and a black seven is zero. Diamonds are red.
In a standard 52 card deck, the probability of drawing an ace is 1/13, and the probability of drawing a diamond is 1/4. The probability of drawing both an ace and a diamond is 1/52.Thus the probability of drawing an ace or a diamond is1/13 + 1/4 - 1/52 = 4/13 or about .308.