Carol draws and keeps a card from a shuffled pack number 1 to 6.

David the draws a card from the remaining 5.

The winner is the one holding the card with the highest number.

a) Determine whether or not there is an advantage to drawing the first.

If the rules are now altered so that Carol returns her card to the pack after noting its value, and also, if Carol and David draw the same card all the cards are shuffled and they draw again.

... 4*C(13,5)/C(52,5) C) Getting 4 aces and the remaining one card is from the other 48 cards. ... The probability is 48/C(52,5) D) Let M is the set of getting 2 ...

Probabilities. ... What is the probability that the cards for the gambler will be the follow ... 1. A face card: There are 3*4 = 12 face cards (King, Queen, Jack of each ...

... c. A person wins the game if they draw a red card and roll and even number. What is the probability of winning this game? 1. A standard deck of cards contain a ...

... have to pick the queen out of 3 cards, the other ... choice to keep your card or choose the third card. Using your knowledge of probability, do you stick with your ...

... The first card can be drawn in 52 ways and the second card can be drawn ... Thus 2 cards can be drawn in 52 x 51 = 2652 ways ... Thus probability = 12/ 2652 = 0.004524. ...

... Find the probabilities that the 6-child family has at ... Find the probability that both cards are red ... 4. Give the probability that corresponds to the shaded region ...

... the probability that the third card is a club is 11/50. To find the probability that all three cards are clubs, multiply those probabilities together: ...

... in 52, is won if you select a red face card (including the ... The probability of winning is 6 in 52 (.1154 ... 52, is won if you select 1 of the 12 face cards from the ...

...cards from total FOUR such cards, and choose two K cards from total such cards. ... Therefore, the probability of getting a full house in a 5 card poker hand ...

... Therefore probability= 0.0475 =123552/2598960. ... there are 13 C 1 ways of choosing a card for three of a kind= Since there are 4 cards of a kind there are 4 ...