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The answer depends on whether the question is in the context of a deck of playing cards or some other collection, whether or not the cards are replaced after picking, whether the cards are selected at random. Since there is no information on any of these aspects, it is not possible to give a useful answer to the question.
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If four cards are to be drawn from a deck of 52 cards what is the probability that they are of the different suit?
The probability that all four of the cards are different suits is 13/17 * 13/25 * 13/49 = 2197/20,825 or 10.54982%.
What is the probability of inserting 4 cards in the correct envelopes without paying attention?
The probability of inserting all four cards in the correct envelops is 1/24.
What is the probability of drawing a 9 or a jack in a deck of 52 cards?
There are four 9's and four jacks. If you can use all of them, you can use 8 out of 52 cards. The probability of drawing one of these cards is therefore 8/52 = 0.1538 or a 15.38 % chance.
How many ways can a hand of five cards consisting of four cards from one suit and one card from another suit be drawn from a standard deck of cards I think combination?
The probability of five cards being four cards from one suit and one card from another suit is the same as the probability of drawing four cards from one suit multiplied by the probability of drawing one card from another suit, multiplied by 5 (for each of the possible positions this other card can be drawn in). The probability of drawing four cards from one suit is 12/51 x 11/50 x 10/49. The probability of drawing a fifth card from another suit is 39/48. All these numbers multiplied together (and multiplied by 5) come to 0.0429. So the probability of drawing a hand of five cards with four cards from one suit and one card from another is 5.29%
Suppose you have an incomplete deck with only 24 cards 13 are hearts if you randomly draw four cards without replacement the probability that all four cards are hearts is?
13/24 * 12/23 * 11/22 * 10/21 1st 2nd 3rd 4th = .06728 or 6.72877%
