The second number is 1/52 because the total number is now reduced by one to 52. The first number is 1/53 because it is one number out of 53 possibilities. The probability of one winner picking all six correct numbers out of 53 numbers is similar to the above question about drawing a royal flush from a deck of cards. Picking Six Out Of 53 Numbers With A Single Ticket Probability Of Winning The California Lottery Then you must consider all the possible orders (permutations) that the cards can be drawn, such as ace-king-queen-jack-ten, ten-jack-queen-king-ace, ace-jack-ten-king-queen, etc. In this case the first card is 20/52 because there are four suits (club, spade, heart & diamond) and five different cards (ace, king, queen, jack & ten) to choose from. It is more likely to draw a royal flush from a deck of 52 cards if the cards can be drawn in any order. The following mathematical calculation shows the unlikely probability of drawing a royal flush in order from a deck of 52 cards:Ĥ/52 X 1/51 X 1/50 X 1/49 X 1/48 = 4 / 311,875,200 The chance of the second card being a king of the same suit is 1/51 because there is only one king of that suit and there are 51 cards left in the deck.
If the cards are drawn in that order from a deck of 52 cards, then the chance of the first card being an ace is 4/52 since there are four aces in the deck and no suit has been specified.
The chance of getting a two (snake eyes) is only 1/36.ĭrawing Cards In Order From A Randomly Shuffled DeckĪ royal flush is an ace, king, queen, jack and ten in the same suit. The probability of coming up with a seven is 1/6 (one out of six rolls) because six combinations of red and green dice add up to seven (6/36 = 1/6). Of all the combinations of dots, seven is the most likely number.
There are 36 possible combinations when rolling a pair of dice.
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