) In the game Dutch Blitz, each player has their own deck of 40 cards: 10 red, 10 yellow, 10 blue, and 10 green. The 10 cards in each colour group are labelled from 1 to 10. The decks are all identical; one is pictured below a) Player A chooses 4 cards at random from her deck to lay face up on the table. What is the probability that she lays down exactly one card of each colour? b) Player B chooses 4 cards at random from his deck to lay face up on the table. What is the probability that he lays down the numbers 1, 2, 3, 4 in that order (ignoring colour)? c) Player C shuffles her deck and then lays all 40 cards face up in a line on the table. Considering only the colours of the cards (i.e., ignoring their numbers), how many different orderings of the 40 cards are possible?

A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)

A safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?

A standard deck of cards contains 52 cards. One card is selected from the top.  a) Commute the probability of RANDOMLY selecting a six or a ten.  b) Commute the probability of RANDOMLY selecting a six, ten or king.  c) Commute the probability of RANDOMLY selecting a three or a spade.

Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged. a) Create a tree diagram that illustrates all the possible outcomes for the match. b) Determine the probability of each outcome. c ) Add the probabilities determined in part b). Does this total make sense? Explain. d) What is the probability that Enrico will not win all three games? e) What is the probability that Cliff will win exactly two games? f) What are the odds against either player winning all three games?

some state lotteries have a pick 3 game where you can choose any number from 000 to 999 a.) how  many possible number can you choose from? b.)if all 3-digit numbers is equally likely what is the probability of any specific number exactly matches winning number? c.) suppose you pick 156 and you can win if the winning number cintains these 3 digits in any order. what is the probability you win? d.) suppose you pick the number 111 and you can win if the winnng number contains those three digits in any order. what is the probability you win?

There are 11 players on a baseball team, all with roughly equal athletic ability. The coach has decided to choose the players who will play the four infield positions (first base, second base, third base, and shortstop) randomly. Tori and Brittany are on a team. Determine the probability of Tori and Brittany being chosen to play in the infield