If Alice collaborates with Paul Erdős on one paper, and with Bob on another, but Bob never collaborates with Erdős himself, then Bob is given an Erdős number of 2, as he is two steps from Erdős.

Police Commissioner Bob Hauk ( Lee Van Cleef ) offers a deal to special forces soldier turned criminal " Snake " Plissken ( Kurt Russell ): If he rescues the president and retrieves a secret cassette tape within 24 hours, Hauk will give him a full pardon.

If Alice measures − x, the system collapses into state IIa, and Bob will get + x.

If Alice knows the true distribution p ( x ), while Bob believes ( has a prior ) that the distribution is q ( x ), then Bob will be more surprised than Alice, on average, upon seeing the value of X.

Alice could send bits to Bob in the following way: If Alice wishes to transmit a " 0 ", she measures the spin of her electron in the z direction, collapsing Bob's state to either or.

If the opponent is on a flush draw ( 9 / 46, approximately 19. 565 percent or 4. 11-to-1 odds against with one card to come ), the pot is not offering adequate pot odds for the opponent to call unless the opponent thinks he can induce additional final round betting from Bob if the opponent completes his flush draw ( see implied pot odds ).

* If Alice indicates her result is, Bob knows his qubit is already in the desired state and does nothing.

* If the message indicates, Bob would send his qubit through the unitary gate given by the Pauli matrix

* If Alice's message corresponds to, Bob applies the gate

If an eavesdropper intercepts the two bits, she may know exactly what Bob needs to do in order to recover the desired state.

If Alice has a particle which is entangled with a particle owned by Bob, and Bob teleports it to Carol, then afterwards, Alice's particle is entangled with Carol's.

If each of two hypothetical experimenters, Alice and Bob, has one of the particles that form an entangled pair, and Alice measures the spin of her particle, the measurement will be entirely unpredictable, with a 50 % probability of the spin being up or down.

If the former occurs, then any subsequent measurement performed by Bob, in the same basis, will always return 1.

Westerberg realized his toughest audience was the band itself, later saying: " If it doesn't rock enough, Bob will scoff at it, and if it isn't catchy enough, Chris won't like it, and if it isn't modern enough, Tommy won't like it ".

If David calls the $ 5, Alice and Bob only have the option of calling or folding ; neither can raise.

If Alice had just bet her hand on the second round, it is likely that Bob would just have called and David may or may not have called, earning Alice $ 2 to $ 4 on the second round.

If Jones was to beat Ruiz in the fight, he would join Bob Fitzsimmons, Michael Spinks, and Michael Moorer as the only three fighters to win titles at light heavyweight and heavyweight as well as becoming the second fighter ( Fitzsimmons being the first ) to win titles at both middleweight and heavyweight.

Songs covered by Lost Dogs on an album or in concert include Bob Dylan's " Lord, Protect My Child ," Leonard Cohen's " If It Be Your Will ," The Beatles ' " I'm A Loser ," " The Chipmunk Song ( Christmas Don't Be Late )", and Stephen Foster's " Hard Times, Come Again No More.

He also released Acoustic Cafe, an album, that with the exception of " You Have My Heart ," is a collection of covers ranging from Bob Dylan (" If Not For You ," " Make You Feel My Love ") to Cyndi Lauper (" Time After Time ").

If Bob were to win the auction, he would have to pay the amount equal to the winning bid ($ 3. 25 ), even though his previous bid was much larger than that.

If the hand value exceeds 21 points, it busts, and all bets on it are immediately forfeit.

If a player bets 1 unit on red, his chance of winning 1 unit is therefore 18 / 38 and his chance of losing 1 unit ( or winning-1 ) is 20 / 38.

If hop bets are not on the craps layout, they still may be bet on by players but they become the responsibility of the boxman to book the bet.

If a player is unsure of whether a bet is a single or multi-roll bet, it can be noted that all single-roll bets will be displayed on the playing surface in one color ( usually red ), while all multi-roll bets will be displayed in a different color ( usually yellow ).

If someone else bets first, he can raise, thus increasing the value of the pot by two bets.

If her opponent has a weak hand or is bluffing, Alice expects no further bets or calls from her opponent.

:* If the gambler bets on the " underdog ", he is said to take the points and will win if the underdog's score plus the spread is greater than the favorite's score.

:* If the gambler bets on the " favorite ", he gives the points and will win if the favorite's score minus the spread is greater than the underdog's score:

If the player bets the size of the pot on a pure bluff, the bluff will have a positive expectation if the probability of being called is less than 50 %.

If a player is all in for part of the ante, or the exact amount of the ante, an equal amount of every other player's ante is placed in the main pot, with any remaining fraction of the ante and all blinds and further bets in the side pot.

If a player cannot or does not wish to go all-in, he or she may instead choose to buy chips with cash out-of-pocket at any time, even during the play of a hand, and his bets are limited only by the specified betting structure of the game.

If a player's table image is that of an aggressive bluffer, slow playing is less important because his opponents will be more willing to call his usual bets and raises.

" If anyone accepted the challenge, bets would be wagered.

If the odds are Evens ( 1 – 1 ), and one bets 10 units, one would be returned 20 units, profiting 10 units.

If you are laying bets based on Drosnin, you had better be willing to bet on all possible outcomes.

If the dealer's hand does not qualify, only the ante bets of player's whose hands beat the dealer's get paid while the respective raise bets all push ( return to their respective players unpaid ).

If his probability of winning each bet is less than 1 ( if it is 1, then he is no gambler ), he will eventually lose N bets in a row, however big N is.

If the match had been abandoned after half-time, then the result and bets would have stood.

If a defense hedges its bets by using three-deep setups with an eight-man defense up front, the QB can pick apart the defense with 10-20 yard passes.

* Automatic Win: If the banker rolls 4-5-6, " triples " ( all three dice show the same number ), or a pair ( of non-6s ) with a 6 then he / she instantly wins all bets.

* Automatic Loss: If the banker rolls 1-2-3, or a pair ( of non-1s ) with a 1, he / she instantly loses all bets ( the players break the bank ).